# Mathematical Sciences Research Institute

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1. # Introductory Workshop: Quantum Symmetries

Organizers: Vaughan Jones (Vanderbilt University), Victor Ostrik (University of Oregon), Emily Peters (Loyola University), LEAD Noah Snyder (Indiana University)
Jellyfish floating to the surface, as in the evaluation algorithm for certain planar algebras.

This workshop will consist of introductory minicourses on key topics in Quantum Symmetry: fusion categories, modular tensor categories, Hopf algebras, subfactors and planar algebras, topological field theories, conformal nets, and topological phases of matter.  These minicourses will be introductory and are aimed at giving semester participants exposure to the main ideas of subfields other than their own.

Updated on Apr 09, 2018 02:20 PM PDT

1. # Connections for Women: Higher Categories and Categorification

Organizers: Emily Riehl (Johns Hopkins University), LEAD Marcy Robertson (University of Melbourne)
Picture of a Feynman graph.

This two-day workshop will survey notable developments in the foundations and applications of higher category theory. It will consist of two mini-courses given by emerging female leaders in the subject: Claudia Scheimbauer and Nathalie Wahl.  This will be paired with a problem sessions lead by selected "TA's", themselves experts in higher structures.  Each lecture series will be tailored to a diverse audience, accessible to graduate students and non-expert researchers with some background in homological algebra.

The majority of the speakers and panelists for this event will be women and gender minorities, and members of these groups and of other underrepresented groups are especially encouraged to attend. This workshop is open to all mathematicians.

Updated on Aug 01, 2019 04:20 PM PDT
2. # Introductory Workshop: Higher Categories and Categorification

Organizers: LEAD David Ayala (Montana State University), Emily Riehl (Johns Hopkins University), Christopher Schommer-Pries (University of Notre Dame), Peter Teichner (Max-Planck-Institut für Mathematik)
relations among 2-morphisms in the 2-dimensional unoriented bordism bicategory

This workshop will survey notable developments and applications of higher category theory; it will be a venue for end-users to share their vision of how to apply the theory, as well as developers to share technical advancements.  It will consist of 6 series of 3 lectures, each given by instrumental end-users & developers of higher category theory, together with a few question-answer sessions.  Each lecture series will be tailored to a diverse audience, accessible to graduate students and non-expert researchers with some background in homological also algebra.  The content of these lecture series will concern the following topics.

• K-theory: categorification, non-commutative motives, trace methods;
• TQFT: functorial field theories, factorization homology.
• Parametrized higher category theory: stratifications, equivariant homotopy theory, operads, deformation theory and Koszul duality.
• Synthetic higher category theory: model-independent characterizations, cosmoi.

Updated on Sep 14, 2018 02:08 PM PDT
3. # Tensor categories and topological quantum field theories

Organizers: Scott Morrison (Australian National University), Eric Rowell (Texas A & M University), LEAD Claudia Scheimbauer (TU München), Christopher Schommer-Pries (University of Notre Dame)
Topological field theory studies the interplay of algebraic and topological structure (image credit Kevin Walker)

The workshop will concern the latest developments in the mathematical study of quantum field theories. The focus will be on the interplay among topics such as higher category theory, as illustrated by the cobordism hypothesis, conformal field theory, tensor categories describing the quantum symmetries, and the relation to topological phases of matter.

Updated on Dec 13, 2019 03:28 PM PST
4. # (∞, n)-categories, factorization homology, and algebraic K-theory

Organizers: LEAD Clark Barwick (University of Edinburgh), David Gepner (University of Melbourne), David Nadler (University of California, Berkeley), Marcy Robertson (University of Melbourne)

This workshop will focus on recent developments in factorization homology, parametrized homotopy theory, and algebraic K-theory.  These seemingly disparate topics are unified by a common methodology, which leverages universal properties and unforeseen descent by way of higher category theory. Furthermore, they enjoy powerful and complementary roles in application to the cyclotomic trace.  This workshop will be a venue for experts in these areas to present new results, make substantive connections across fields, and suggest and contextualize outstanding questions and problems.  It will consist of 9 speakers, each delivering a 1-hour morning talk and a 1-hour afternoon talk, in addition to a session reserved for drawing attention to an assortment of outstanding problems.

Updated on Dec 13, 2019 03:28 PM PST
5. # Connections for Women: Decidability, definability and computability in number theory

Organizers: LEAD Valentina Harizanov (George Washington University), David Marker (University of Illinois, Chicago), Russell Miller (Queens College, CUNY; CUNY, Graduate Center), Jennifer Park (Ohio State University), Alexandra Shlapentokh (East Carolina University)

The aim of the workshop is to discover how the problems in number theory and algebraic geometry arising from the Hilbert’s tenth problem for rationals interact with the ideas and techniques in mathematical logic, such as definability from model theory and decidability and degree-theoretic complexity from computability theory. This interaction includes various analogues of Hilbert’s tenth problem and related questions, focusing on the connections of algebraic, number-theoretic, model-theoretic, and computability-theoretic properties of structures and objects in algebraic number theory, anabelian geometry, field arithmetic, and differential algebra.

Updated on Apr 11, 2019 01:47 PM PDT
6. # Introductory Workshop: Decidability, definability and computability in number theory

Organizers: Maryanthe Malliaris (University of Chicago), Russell Miller (Queens College, CUNY; CUNY, Graduate Center), LEAD Jonathan Pila (University of Oxford), Alexandra Shlapentokh (East Carolina University)
Title page of Diophantus' Arithmetica - ETH Zurich

Our workshop will focus research efforts on the interaction of number-theoretic questions with questions of decidability, definability, and computability, bringing together researchers approaching these questions from various sides to work on the core issues. This Introductory Workshop will serve as the introductory event of the MSRI semester program and is designed to introduce the basic structures and ideas of the different communities, and to highlight problems of active current interest.

Updated on Apr 23, 2019 01:30 PM PDT
7. # Connections for Women: Random and Arithmetic Structures in Topology

Organizers: LEAD Ursula Hamenstädt (Rheinische Friedrich-Wilhelms-Universität Bonn), LEAD Fanny Kassel (Institut des Hautes Études Scientifiques (IHES))

This two-day workshop will consist of various talks given by prominent female mathematicians in the field.  These will be appropriate for graduate students, post-docs, and researchers in areas related to the program.  The workshop will also include a professional development session.

This workshop is open to all mathematicians.

Updated on Jun 12, 2018 09:17 AM PDT
8. # Introductory Workshop: Random and Arithmetic Structures in Topology

Organizers: Jeffrey Brock (Yale University), Michelle Bucher (Université de Genève), LEAD Alan Reid (Rice University)
Geometry, Topology and Arithmeticity

The use of dynamical invariants has long been a staple of geometry and topology, from rigidity theorems, to classification theorems, to the general study of lattices and of the mapping class group. More recently, random structures in topology and notions of probabilistic geometric convergence have played a critical role in
testing the robustness of conjectures in the arithmetic setting.

In this introductory workshop, we will bring together junior and senior researchers in order to provide a mix of introductory lectures as well as reporting on more recent progress in topics from this diverse range of subjects.

Updated on Jun 17, 2019 08:13 AM PDT
9. # Structure and randomness in locally symmetric spaces

Organizers: Nicolas Bergeron (École Normale Supérieure), Lewis Bowen (University of Texas, Austin), Yizhaq Gelander (Weizmann Institute of Science), LEAD Alan Reid (Rice University), Abigail Thompson (University of California, Davis)
Structure in a locally symmetric space by Jos Leys

The study of discrete subgroups of Lie groups and the associated locally symmetric manifolds has a long and rich history, with powerful interconnections between the geometry of the locally symmetric space, topology of towers of its finite covers, and number-theoretic aspects. More recently dynamical and probabilistic techniques have been fruitfully employed to study these groups and spaces.  The workshop will take stock of recent developments in these highly active fields from a variety of backgrounds.

Updated on Jun 06, 2019 09:08 AM PDT
10. # Introductory Workshop: Mathematical problems in fluid dynamics

Organizers: Nicolas Burq (Université de Paris XI), Anne-Laure Dalibard (Université de Paris VI (Pierre et Marie Curie)), Jean Marc Delort (Université de Paris XIII (Paris-Nord)), LEAD Mihaela Ifrim (University of Wisconsin-Madison), Irena Lasiecka (University of Memphis), Vladimir Sverak (University of Minnesota Twin Cities)

The workshop will address topics in the PDE analysis of the basic equations of the incompressible fluid dynamics (the Euler equations for inviscid flows, the Navier Stokes equations for viscous flows), interface problems (water waves), and other related equations. Open problems and connections to related branches of mathematics will be discussed, including the phenomena of turbulence and the zero viscosity limit. Both theoretical and numerical aspects of these topics will be considered. There will be some colloquium style lectures as well as shorter research talks. The workshop is open to all.

Updated on Nov 25, 2019 01:09 PM PST
11. # Recent Developments in Fluid Dynamics

Organizers: Thomas Alazard (Ecole Normale Supérieure Paris-Saclay; Centre National de la Recherche Scientifique (CNRS)), Hajer Bahouri (Université Paris-Est Créteil Val-de-Marne; Centre National de la Recherche Scientifique (CNRS)), Mihaela Ifrim (University of Wisconsin-Madison), Igor Kukavica (University of Southern California), David Lannes (Université de Bordeaux I; Centre National de la Recherche Scientifique (CNRS)), LEAD Daniel Tataru (University of California, Berkeley)
Water waves

The aim of the workshop is to bring together a broad array of researchers working on incompressible fluid dynamics. Some of the key topics to be covered are Euler flows, Navier Stokes equations as well as water wave flows and associated model equations. Some emphasis will also be placed on numerical analysis of the above evolutions.

Updated on Jun 18, 2019 09:54 AM PDT
12. # Integrable structures in random matrix theory and beyond

Organizers: LEAD Jinho Baik (University of Michigan), Alexei Borodin (Massachusetts Institute of Technology), Tamara Grava (University of Bristol; SISSA), Alexander Its (Indiana University-Purdue University Indianapolis), Sandrine Péché (Université de Paris VII (Denis Diderot))
Image by Alexei Borodin.

This workshop will focus on the integrable aspect of random matrix theory and other related probability models such as random tilings, directed polymers, and interacting particle systems. The emphasis is on communicating diverse algebraic structures in these areas which allow the asymptotic analysis possible. Some of such structures are determinantal point processes, Toeplitz and Hankel determinants, Bethe ansatz, Yang-Baxter equation, Karlin-McGregor formula, Macdonald process, and stochastic six vertex model.

Updated on Jul 31, 2019 03:22 PM PDT

1. # Connections for Women: Quantum Symmetries

Organizers: Emily Peters (Loyola University), LEAD Chelsea Walton (University of Illinois at Urbana-Champaign)
Photo by drmakete lab on Unsplash

This workshop will feature several talks by experts, along with numerous 5-minute presentations by junior mathematicians, on topics related to Quantum Symmetry. Such topics will include tensor categories, subfactors, Hopf algebras, topological quantum field theory and more. There will also be a panel discussion on professional development. The majority of the speakers and panelists for this event will be women and gender minorities, and members of these groups and of other underrepresented groups are especially encouraged to attend. This workshop is open to all mathematicians.

Updated on Jan 24, 2020 10:25 AM PST
2. # Holomorphic Differentials in Mathematics and Physics

Organizers: LEAD Jayadev Athreya (University of Washington), Steven Bradlow (University of Illinois at Urbana-Champaign), Sergei Gukov (California Institute of Technology), Andrew Neitzke (Yale University), Laura Schaposnik (University of Illinois at Chicago), Gabriela Weitze-Schmithuesen (Universität des Saarlandes), Anton Zorich (Institut de Mathematiques de Jussieu)
An example of a spectral network associated to the group SL(4).

Holomorphic differentials on Riemann surfaces have long held a distinguished place in low dimensional geometry, dynamics and representation theory. Recently it has become apparent that they constitute a common feature of several other highly active areas of current research in mathematics and also at the interface with physics. In some cases the areas themselves (such as stability conditions on Fukaya-type categories, links to quantum integrable systems, or the physically derived construction of so-called spectral networks) are new, while in others the novelty lies more in the role of the holomorphic differentials (for example in the study of billiards in polygons, special - Hitchin or higher Teichmuller - components of representation varieties, asymptotic properties of Higgs bundle moduli spaces, or in new interactions with algebraic geometry).

It is remarkable how widely scattered are the motivating questions in these areas, and how diverse are the backgrounds of the researchers pursuing them. Bringing together experts in this wide variety of fields to explore common interests and discover unexpected connections is the main goal of our program. Our workshop will be of interest to those working in many different fields, including low-dimensional dynamical systems (via the connection to billiards); differential geometry (Higgs bundles and related moduli spaces); and different types of theoretical physics (electron transport and supersymmetric quantum field theory).

Updated on Nov 21, 2019 10:44 AM PST
3. # Recent developments in microlocal analysis

Organizers: LEAD Pierre Albin (University of Illinois at Urbana-Champaign), Nalini Anantharaman (Université de Strasbourg), Colin Guillarmou (Université de Paris XI (Paris-Sud))

Microlocal analysis provides tools for the precise analysis of problems arising in areas such as partial differential equations or integral geometry by working in the phase space, i.e. the cotangent bundle, of the underlying manifold. It has origins in areas such as quantum mechanics and hyperbolic equations, in addition to the development of a general PDE theory, and has expanded tremendously over the last 40 years to the analysis of singular spaces, integral geometry, nonlinear equations, scattering theory, hyperbolic dynamical systems, probability… As this description shows microlocal analysis has become a very broad area. Due to its breadth, it is a challenge for researchers to be aware of what is happening in other parts of the field, and the impact this may have in their own research area. The purpose of this workshop is thus to bring together researchers from different parts of microlocal analysis and its applications to facilitate the transfer of new ideas.

Updated on Dec 05, 2019 10:59 AM PST
4. # Introductory Workshop: Microlocal Analysis

Organizers: Pierre Albin (University of Illinois at Urbana-Champaign), LEAD Raluca Felea (Rochester Institute of Technology), Andras Vasy (Stanford University)

Microlocal analysis provides tools for the precise analysis of problems arising in areas such as partial differential equations or integral geometry by working in the phase space, i.e. the cotangent bundle, of the underlying manifold. It has origins in areas such as quantum mechanics and hyperbolic equations, in addition to the development of a general PDE theory, and has expanded tremendously over the last 40 years to the analysis of singular spaces, integral geometry, nonlinear equations, scattering theory… This workshop will provide a comprehensive introduction to the field for postdocs and graduate students as well as specialists outside the field, building up from standard facts about the Fourier transform, distributions and basic functional analysis.

Updated on Sep 05, 2019 01:10 PM PDT
5. # Connections for Women: Microlocal Analysis

Organizers: Tanya Christiansen (University of Missouri), LEAD Raluca Felea (Rochester Institute of Technology)

This workshop will provide a gentle introduction to a selection of applications of microlocal analysis.  These may be drawn from among geometric microlocal analysis, inverse problems, scattering theory, hyperbolic dynamical systems,  quantum chaos and relativity.  The workshop will also provide  a panel discussion, a poster session and an introduction/research session.

This workshop is open to all mathematicians.

Updated on Sep 24, 2019 09:45 AM PDT
6. # Introductory Workshop: Holomorphic Differentials in Mathematics and Physics

Organizers: LEAD Jayadev Athreya (University of Washington), Sergei Gukov (California Institute of Technology), Andrew Neitzke (Yale University), Anna Wienhard (Ruprecht-Karls-Universität Heidelberg)
Some holomorphic differentials on a genus 2 surface, with close up views of singular points, image courtesy Jian Jiang.

Holomorphic differentials on Riemann surfaces have long held a distinguished place in low dimensional geometry, dynamics and representation theory. Recently it has become apparent that they constitute a common feature of several other highly active areas of current research in mathematics and also at the interface with physics. In this introductory workshop, we will bring junior and senior researchers from this diverse range of subjects together in order to explore common themes and unexpected connections.

Updated on Aug 22, 2019 10:50 AM PDT
7. # Connections for Women: Holomorphic Differentials in Mathematics and Physics

Organizers: Laura Fredrickson (Stanford University), Lotte Hollands (Heriot-Watt University, Riccarton Campus), LEAD Qiongling Li (Chern Institute of Mathematics), Anna Wienhard (Ruprecht-Karls-Universität Heidelberg), Grace Work (Massachusetts Institute of Technology)
Some holomorphic differentials on a genus 2 surface, with close up views of singular points, image courtesy Jian Jiang.

This two-day workshop will consist of various talks given by prominent female mathematicians on topics of new developments in the role of holomorphic differentials on Riemann surfaces. These will be appropriate for graduate students, post-docs, and researchers in areas related to the program.

This workshop is open to all mathematicians.

Updated on Sep 24, 2019 09:48 AM PDT
8. # Recent Progress in Moduli Theory

Organizers: Lucia Caporaso (Terza Università di Roma), LEAD Sándor Kovács (University of Washington), Martin Olsson (University of California, Berkeley)

This workshop will be focused on presenting the latest developments in moduli theory, including (but not restricted to) recent advances in compactifications of moduli spaces of higher dimensional varieties, the birational geometry of moduli spaces, abstract methods including stacks, stability criteria, and applications in other disciplines.

Updated on Sep 24, 2019 09:45 AM PDT
9. # Derived algebraic geometry and its applications

Organizers: Dennis Gaitsgory (Harvard University), David Nadler (University of California, Berkeley), LEAD Nick Rozenblyum (University of Chicago), Peter Scholze (Universität Bonn), Brooke Shipley (University of Illinois at Chicago)

This workshop will bring together researchers at various frontiers, including arithmetic geometry, representation theory, mathematical physics, and homotopy theory, where derived algebraic geometry has had recent impact. The aim will be to explain the ideas and tools behind recent progress and to advertise appealing questions. A focus will be on moduli spaces, for example of principal bundles with decorations as arise in many settings, and their natural structures.

Updated on Sep 24, 2019 09:46 AM PDT
10. # Introductory Workshop: Derived Algebraic Geometry and Birational Geometry and Moduli Spaces

Organizers: Julie Bergner (University of Virginia), Bhargav Bhatt (University of Michigan), Christopher Hacon (University of Utah), LEAD Mircea Mustaţă (University of Michigan), Gabriele Vezzosi (Università di Firenze)
A picture of a singularity, courtesy of Herwig Hauser

The workshop will survey several areas of algebraic geometry, providing an introduction to the two main programs hosted by MSRI in Spring 2019. It will consist of 7 expository mini-courses and 7 separate lectures, each given by top experts in the field.

The focus of the workshop will be the recent progress in derived algebraic geometry, birational geometry and moduli spaces. The lectures will be aimed at a wide audience including advanced graduate students and postdocs with a background in algebraic geometry.

Updated on Sep 24, 2019 09:47 AM PDT
11. # Connections for Women: Derived Algebraic Geometry, Birational Geometry and Moduli Spaces

Organizers: Julie Bergner (University of Virginia), LEAD Antonella Grassi (University of Pennsylvania), Bianca Viray (University of Washington), Kirsten Wickelgren (Georgia Institute of Technology)
Image created by Tristan Hübsch

This workshop will be on different aspects of Algebraic Geometry relating Derived Algebraic Geometry and Birational Geometry. In particular the workshop will focus on connections to other branches of mathematics and open problems. There will be some colloquium style lectures as well as shorter research talks. The workshop is open to all.

Updated on Sep 24, 2019 09:47 AM PDT
12. # Hamiltonian systems, from topology to applications through analysis II

Organizers: Alessandra Celletti (Seconda Università di Roma "Tor Vergata''), Rafael de la Llave (Georgia Institute of Technology), Diego del-Castillo-Negrete (Oak Ridge National Laboratory), Lawrence Evans (University of California, Berkeley), LEAD Philip Morrison (University of Texas, Austin), Sergei Tabachnikov (Pennsylvania State University), Amie Wilkinson (University of Chicago)
An invariant set inhibiting transport in a two degree-of-freedom Hamiltonian system (courtesy J. D. Szezech)

This is a main workshop of the program “Hamiltonian systems, from topology to applications through analysis.”  It  will feature current developments pertaining to finite and infinite-dimensional Hamiltonian systems, with a mix of rigorous theory and applications.  A broad range of topics will be included, e.g., existence of and transport about invariant sets (Arnold diffusion, KAM, etc.),  techniques for projection/reduction of infinite to finite systems, and the role of topological invariants in applications.

Updated on Dec 14, 2018 12:29 PM PST
13. # Hamiltonian systems, from topology to applications through analysis I

Organizers: Alessandra Celletti (Seconda Università di Roma "Tor Vergata''), Rafael de la Llave (Georgia Institute of Technology), Diego del-Castillo-Negrete (Oak Ridge National Laboratory), Lawrence Evans (University of California, Berkeley), LEAD Philip Morrison (University of Texas, Austin), Sergei Tabachnikov (Pennsylvania State University), Amie Wilkinson (University of Chicago)
Depiction of the standard nontwist map (courtesy of G.Miloshevich).

This is a main workshop of the program “Hamiltonian systems, from topology to applications through analysis” and is a companion to the workshop next month (November 26-30).  Both workshops will feature current developments pertaining to finite and infinite-dimensional Hamiltonian systems, with a mix of rigorous theory and applications.  A broad range of topics will be included, e.g., existence of and transport about invariant sets (Arnold diffusion, KAM, etc.),  techniques for projection/reduction of infinite to finite systems, and the role of topological invariants in applications.

Updated on Oct 15, 2018 12:28 PM PDT
14. # Introductory Workshop: Hamiltonian systems, from topology to applications through analysis

Organizers: Marie-Claude Arnaud (Université d'Avignon), Wilfrid Gangbo (University of California, Los Angeles), LEAD vadim kaloshin (University of Maryland), Robert Littlejohn (University of California, Berkeley), Philip Morrison (University of Texas, Austin)

The introductory workshop will cover the large variety of topics of the semester: weak KAM theory, Mather theory, Hamilton-Jacobi equations, integrable systems and integrable planar billiards, instability formation for nearly integrable systems, celestial mechanics, billiards, spectral rigidity, Astrodynamics, motion of satellites, Plasma Physics, Accelerator Physics, Theoretical Chemistry, and Atomic Physics.

The workshop will consist of approximately 18 lectures to introduce the main topics relevant to the semester. That will leave time for discussions and exchange between the participants.

Updated on Oct 05, 2018 02:51 PM PDT
15. # Connections for Women: Hamiltonian Systems, from topology to applications through analysis

Organizers: Marie-Claude Arnaud (Université d'Avignon), LEAD Basak Gurel (University of Central Florida), Tere Seara (Polytechnical University of Cataluña (Barcelona))
Representing the orbits of the standard map for K = 1.2

This workshop will feature lectures on a variety of topics in Hamiltonian dynamics given by leading researchers in the area. The talks will focus on recent developments in subjects closely related to the program such as Arnold diffusion, celestial mechanics, Hamilton-Jacobi equations, KAM methods, Aubry-Mather theory and symplectic topological techniques, and on applications. The workshop is open to all mathematicians in areas related to the program.

Updated on Dec 05, 2018 03:43 PM PST
16. # Representations of Finite and Algebraic Groups

Organizers: Robert Guralnick (University of Southern California), Alexander Kleshchev (University of Oregon), Gunter Malle (Universität Kaiserslautern), Gabriel Navarro (University of Valencia), LEAD Pham Tiep (Rutgers University)

The workshop will bring together key researchers working in various areas of Group Representation Theory to strengthen the interaction and collaboration between them and to make further progress on a number of basic problems and conjectures in the field. Topics of the workshop include
-- Global-local conjectures in the representation theory of finite groups
-- Representations and cohomology of simple, algebraic and finite groups
-- Connections to Lie theory and categorification, and
-- Applications to group theory, number theory, algebraic geometry, and combinatorics.

Updated on May 25, 2018 11:23 AM PDT
17. # Structures in Enumerative Geometry

Organizers: Mina Aganagic (University of California, Berkeley), Jim Bryan (University of British Columbia), LEAD Davesh Maulik (Massachusetts Institute of Technology), Balazs Szendroi (University of Oxford), Richard Thomas (Imperial College, London)

The purpose of the workshop is to bring together specialists to work on understanding the many-faceted mathematical structures underlying problems in enumerative geometry. Topics represented at the workshop will include: geometric representation theory, supersymmetric gauge theory, string theory, knot theory, and derived geometry, all of which have had a profound effect on the development of modern enumerative geometry.

Updated on Jun 29, 2018 10:50 AM PDT
18. # Introductory Workshop: Group Representation Theory and Applications

Organizers: Robert Guralnick (University of Southern California), Gunter Malle (Universität Kaiserslautern)

The workshop will survey various important and active areas of the representation theory of finite and algebraic groups, and introduce the audience to several basic open problems in the area. It will consist of 6 series of 3 lectures each given by top experts in the field. The lectures are designed for a diverse audience and will be accessible to non-specialists and graduate students with some background in representation theory. Topics covered include Representation theory of algebraic groups, Decomposition numbers of finite groups of Lie type, Deligne-Lusztig theory,  Block theory, Categorification, and Local-global-conjectures.

Updated on Feb 16, 2018 09:33 AM PST
19. # Connections for Women: Group Representation Theory and Applications

Organizers: Karin Erdmann (University of Oxford), Julia Pevtsova (University of Washington)

This intensive two day workshop will introduce graduate students and recent PhD’s to some current topics of research in Representation Theory. It will consists of a mixture of survey talks on the hot topics in the area given by leading experts and research talks by junior mathematicians covering subjects such as new developments in character theory, group cohomology, representations of Lie algebras and algebraic groups, geometric representation theory, and categorification.

This workshop is open to all mathematicians.

Updated on Apr 10, 2018 10:49 AM PDT
20. # Introductory Workshop: Enumerative Geometry Beyond Numbers

Organizers: Denis Auroux (University of California, Berkeley), LEAD Chiu-Chu Melissa Liu (Columbia University), Andrei Okounkov (Columbia University)

This workshop will consist of expository mini-courses and lectures introducing various aspects of modern enumerative geometry, among which: enumeration via intersection theory on moduli spaces of curves or sheaves, including Gromov-Witten and Donaldson-Thomas invariants; motivic and K-theoretic refinement of these invariants; and categorical invariants (derived categories of coherent sheaves, Fukaya categories).

Updated on Apr 06, 2018 01:03 PM PDT
21. # Connections for Women: Enumerative Geometry Beyond Numbers

Organizers: Barbara Fantechi (International School for Advanced Studies (SISSA/ISAS)), LEAD Chiu-Chu Melissa Liu (Columbia University)

This two-day workshop will provide an overview of significant developments and open problems in modern enumerative geometry, from the perspectives of both algebraic geometry and symplectic topology.

This workshop is open to all mathematicians.

Updated on Jan 26, 2018 09:37 AM PST
22. # Geometric functional analysis and applications

Organizers: Franck Barthe (Université de Toulouse III (Paul Sabatier)), Rafal Latala (University of Warsaw), Emanuel Milman (Technion---Israel Institute of Technology), Assaf Naor (Princeton University), LEAD Gideon Schechtman (Weizmann Institute of Science)

This is the main workshop of the program "Geometric functional analysis and applications". It will focus on the main topics of the program. These include: Convex geometry, Asymptotic geometric analysis, Interaction with computer science, Signal processing, Random matrix theory and other aspects of Probability.

Updated on Apr 30, 2018 01:55 PM PDT
23. # Geometric and topological combinatorics: Modern techniques and methods

Organizers: Patricia Hersh (North Carolina State University), LEAD Victor Reiner (University of Minnesota Twin Cities), Bernd Sturmfels (University of California, Berkeley), Frank Vallentin (Universität zu Köln), Günter Ziegler (Freie Universität Berlin)

This workshop will focus on the interaction between Combinatorics, Geometry and Topology, including recent developments and techniques in areas such as

-- polytopes and cell complexes,
-- simplicial complexes and higher order graph theory,
-- methods from equivariant topology and configuration spaces,
-- geometric combinatorics in optimization and social choice theory,
-- algebraic and algebro-geometric methods.

Updated on May 25, 2018 01:29 PM PDT
24. # Introductory Workshop: Geometric and Topological Combinatorics

Organizers: Imre Barany (Alfréd Rényi Institute of Mathematics), Anders Björner (Royal Institute of Technology (KTH)), LEAD Benjamin Braun (University of Kentucky), Isabella Novik (University of Washington), Francis Su (Harvey Mudd College), Rekha Thomas (University of Washington)

The introductory workshop will present the main topics that will be the subject of much of the Geometric and Topological Combinatorics Program at MSRI.  Key areas of interest are point configurations and matroids, hyperplane and subspace arrangements, polytopes and polyhedra, lattices, convex bodies, and sphere packings. This workshop will consist of introductory talks on a variety of topics, intended for a broad audience.

Updated on May 01, 2018 10:00 AM PDT
25. # Connections for Women Workshop: Geometric and Topological Combinatorics

Organizers: Federico Ardila (San Francisco State University), Margaret Bayer (University of Kansas), Francisco Santos Leal (University of Cantabria), LEAD Cynthia Vinzant (North Carolina State University)

This workshop will feature lectures on a variety of topics in geometric and topological combinatorics, given by prominent women and men in the field. It precedes the introductory workshop and will preview the major research themes of the semester program. There will be a panel discussion focusing on issues particularly relevant to junior researchers, women, and minorities, as well as other social events. This workshop is open to all mathematicians.

Updated on Sep 06, 2017 08:32 AM PDT
26. # Introductory Workshop: phenomena in high dimensions

Organizers: LEAD Alexander Koldobsky (University of Missouri), Michel Ledoux (Institut de Mathématiques de Toulouse), Monika Ludwig (Technische Universität Wien), Alain Pajor (Université de Paris Est Marne-la-Vallée), Stanislaw Szarek (Case Western Reserve University), Roman Vershynin (University of Michigan)

This workshop will consist of several short courses related to high dimensional convex geometry, high dimensional probability, and applications in data science. The lectures will be accessible for graduate students.

Updated on Sep 05, 2017 11:18 AM PDT
27. # Connections for Women: geometry and probability in high dimensions

Organizers: LEAD Shiri Artstein (Tel Aviv University), Marianna Csornyei (University of Chicago), Eva Kopecka (Leopold-Franzens Universität Innsbruck), Elisabeth Werner (Case Western Reserve University)

This workshop will be on topics connected with Asymptotic Geometric Analysis - a relatively new field, the young finite dimensional cousin of Banach Space theory, functional analysis and classical convexity. We study high, but finite, dimensional objects, where the disorder of many parameters and many dimensions is regularized by convexity assumptions.  This workshop is open to all mathematicians.

Updated on Aug 29, 2017 10:40 AM PDT
28. # Recent Developments in Harmonic Analysis

Organizers: Michael Christ (University of California, Berkeley), Steven Hofmann (University of Missouri), LEAD Michael Lacey (Georgia Institute of Technology), Betsy Stovall (University of Wisconsin-Madison), Brian Street (University of Wisconsin-Madison)

Topics for this workshop will be drawn from the main research directions of this conference, including:
(1) Restriction, Kakeya, and geometric incidence problems
(2) Analysis on nonhomogenous spaces
(3) Weighted estimates
(4) Quantitative rectifiability and other topics in PDE

Updated on May 26, 2017 12:27 PM PDT
29. # Recent developments in Analytic Number Theory

Organizers: Tim Browning (University of Bristol), Chantal David (Concordia University), Kannan Soundararajan (Stanford University), LEAD Terence Tao (University of California, Los Angeles)

This workshop will be focused on presenting the latest developments in analytic number theory, including (but not restricted to) recent advances in sieve theory, multiplicative number theory, exponential sums, arithmetic statistics, estimates on automorphic forms, and the Hardy-Littlewood circle method.

Updated on Jun 05, 2017 10:26 AM PDT
30. # Introductory Workshop: Analytic Number Theory

Organizers: Andrew Granville (Université de Montréal), LEAD Emmanuel Kowalski (ETH Zurich), Kaisa Matomäki (University of Turku), Philippe Michel (École Polytechnique Fédérale de Lausanne (EPFL))

The introductory workshop will present, through short minicourses and introductory lectures, the main topics that will be the subject of much of the Analytic Number Theory Programme at MSRI. These topics include the theory of multiplicative functions, the theory of modular forms and L-functions, the circle method, sieve methods, and the theory of exponential sums over finite fields

Updated on May 06, 2017 01:18 AM PDT
31. # Connections for Women: Analytic Number Theory

Organizers: LEAD Chantal David (Concordia University), Kaisa Matomäki (University of Turku), Lillian Pierce (Duke University), Kannan Soundararajan (Stanford University), Terence Tao (University of California, Los Angeles)

This workshop will consist of lectures on the current state of research in analytic number theory, given by prominent women and men in the field.  The workshop is open to all graduate students, post-docs, and researchers in areas related to the program; it will also include a panel discussion session among female researchers on career issues, as well as other social events

Updated on May 06, 2017 01:18 AM PDT
32. # Introductory Workshop: Harmonic Analysis

Organizers: Allan Greenleaf (University of Rochester), LEAD Michael Lacey (Georgia Institute of Technology), Svitlana Mayboroda (University of Minnesota, Twin Cities), Betsy Stovall (University of Wisconsin-Madison), Brian Street (University of Wisconsin-Madison)

This week-long workshop will serve as an introduction for graduate students, postdocs, and other researchers to the main themes of the program.  It will feature accessible talks by a number of leading harmonic analysts, including several short courses on the core ideas and techniques in the field.  There will also be a problem session, to which all participants are encouraged to contribute.

Updated on May 06, 2017 01:18 AM PDT
33. # Connections for Women: Harmonic Analysis

Organizers: Svitlana Mayboroda (University of Minnesota, Twin Cities), LEAD Betsy Stovall (University of Wisconsin-Madison)

This workshop will highlight the work of several prominent women working in harmonic analysis, including some of the field's rising stars.  There will also be a panel discussion.  There will also be a contributed poster session.  This workshop is open to, and poster contributions are welcome from all mathematicians.

Updated on May 06, 2017 01:18 AM PDT
34. # Amenability, coarse embeddability and fixed point properties

Organizers: Goulnara Arzhantseva (University of Vienna), LEAD Cornelia Drutu (University of Oxford), Graham Niblo (University of Southampton), Piotr Nowak (Polish Academy of Sciences)

The main theme of the workshop is the spectrum of analytic properties running from Kazhdan's property (T) at one end to von Neumann's amenability at the other, that forms a foundational organizing structure for infinite groups and spaces. These properties can be described both analytically, via unitary representation theory, and geometrically, using embedding properties for discrete spaces. Connections with probability and combinatorics will likewise be addressed during the meeting.

Updated on May 06, 2017 01:18 AM PDT
35. # Geometry of mapping class groups and Out(Fn)

Organizers: Yael Algom-Kfir (University of Haifa), LEAD Mladen Bestvina (University of Utah), Richard Canary (University of Michigan), Gilbert Levitt (Université de Caen)

A four-day workshop with research-level talks on the latest advances in the geometry of mapping class groups and Out(F_n), and spaces on which they act.

Updated on May 06, 2017 01:18 AM PDT
36. # Groups acting on CAT(0) spaces

Organizers: Ian Agol (University of California, Berkeley), Pierre-Emmanuel Caprace (Université Catholique de Louvain), Koji Fujiwara (Kyoto University), Alessandra Iozzi (ETH Zürich), LEAD Michah Sageev (Technion---Israel Institute of Technology)

The theme of the workshop is algebraic, geometric and analytical aspects of groups that act by isometries on spaces of non-positive curvature known as CAT(0) spaces. The world of CAT(0) spaces includes classical spaces such as symmetric spaces and buildings, as well as more avant-garde arrivals, such as CAT(0) cube complex. The workshop will bring together researchers studying various aspects of such groups and spaces to discuss recent developments and chart new directions in the field.

Updated on May 06, 2017 01:18 AM PDT
37. # Introductory Workshop: Geometric Group Theory

Organizers: Martin Bridson (University of Oxford), Benson Farb (University of Chicago), LEAD zlil sela (The Hebrew University of Jerusalem), Karen Vogtmann (University of Warwick)

This will be an introductory workshop to the MSRI jumbo program Geometric Group Theory being held during the Fall Semester of 2016. The purpose of the workshop is to provide an overview of key areas of research to be covered in the program, including an introduction to open problems of current interest.

Updated on May 06, 2017 01:18 AM PDT
38. # Connections for Women: Geometric Group Theory

Organizers: LEAD Ruth Charney (Brandeis University), Indira Chatterji (Université Nice Sophia-Antipolis), Mark Feighn (Rutgers University), Talia Fernos (University of North Carolina)

This three-day workshop will feature talks by six prominent female mathematicians on a wide range of topics in geometric group theory.  Each speaker will give two lectures, separated by a break-out session during which participants will meet in small groups to discuss ideas presented in the first lecture.   The workshop is open to all mathematicians.

Updated on May 06, 2017 01:18 AM PDT
39. # Geometric Flows in Riemannian and Complex Geometry

Organizers: Tobias Colding (Massachusetts Institute of Technology), LEAD John Lott (University of California, Berkeley), Natasa Sesum (Rutgers University)

The workshop will concentrate on parabolic methods in both Riemannian and complex geometry. The topics will include

- Ricci flow. Analytic questions about Ricci flow in three dimensions. Possible applications of Ricci flow to 4-manifold topology. Ricci flow in higher dimensions under curvature assumptions.

- Kähler-Ricci Flow. Applications to the Kähler-Einstein problem. Connections to the minimal model program. Study of Kähler-Ricci solitons and limits of Kähler-Ricci flow.

- Mean curvature flow. Singularity analysis. Generic mean curvature flow.

- Other geometric flows such as Calabi flow and pluriclosed flow.

Updated on May 06, 2017 01:18 AM PDT
40. # Kähler Geometry, Einstein Metrics, and Generalizations

Organizers: Olivier Biquard (École Normale Supérieure), Simon Donaldson (Imperial College, London), Gang Tian (Princeton University), LEAD Jeff Viaclovsky (University of Wisconsin-Madison)

The workshop will integrate elements from complex differential geometry with Einstein metrics and their generalizations. The topics will include

- Existence of Kähler-Einstein metrics and extremal Kähler metrics. Notions of stability in algebraic geometry such as Chow stability, K-stability, b-stability, and polytope stability. Kähler-Einstein metrics with conical singularities along a divisor.

- Calabi-Yau metrics and collapsed limit spaces. Connections with physics and mirror symmetry.

- Einstein metrics and their moduli spaces, ε-regularity, noncompact examples such as ALE, ALF, and Poincaré-Einstein metrics. Generalizations of the Einstein condition, such as Bach-flat metrics and Ricci solitons.

- Sasaki-Einstein metrics and metrics with special holonomy. New examples and classification problems.

Updated on May 06, 2017 01:18 AM PDT
41. # Introductory Workshop: Modern Riemannian Geometry

Organizers: LEAD Tobias Colding (Massachusetts Institute of Technology), John Lott (University of California, Berkeley), Jeff Viaclovsky (University of Wisconsin-Madison)

The week will be devoted to an introduction to modern techniques in Riemannian geometry. This is intended to help graduate students and younger researchers get a headstart, in order to increase their participation during the main semester programs and research lectures. To increase outreach, the week will focus on Riemannian geometry and should be largely accessible. Some minicourses on topics of recent interest will be included. The workshop will also have semi-expository lectures dealing with aspects of spaces with curvature bounded from below, since such spaces will occur throughout the semester. We expect that many Berkeley mathematicians and students will participate in the introductory workshop.

Updated on May 06, 2017 01:18 AM PDT
42. # Connections for Women: Differential Geometry

Organizers: Christine Breiner (Fordham University), LEAD Natasa Sesum (Rutgers University)

The purpose of this meeting is to help junior female researchers to become familiar with the focus topics of the main MSRI program, and also for the junior researchers to have an opportunity to get acquainted with more senior women researchers in differential geometry.

This workshop is open to all mathematicians.

Updated on May 06, 2017 01:18 AM PDT
43. # New challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems

Organizers: Jonathan Mattingly (Duke University), LEAD Andrea Nahmod (University of Massachusetts, Amherst), Pierre Raphael (Université Nice Sophia-Antipolis), Luc Rey-Bellet (University of Massachusetts, Amherst), Daniel Tataru (University of California, Berkeley)

This workshop serves to bring into focus the fundamental aim of the jumbo program by both a)  showcasing the spectacular progress in recent years in the study of both nonlinear dispersive as well as stochastic partial differential equations and b) bringing to the fore the key challenges for the future in quantitatively analyzing the dynamics of solutions arising from the flows generated by deterministic and non-deterministic evolution differential equations, or dynamical evolution of large physical systems.

During the two weeks long workshop, we intertwine talks on a wide array of topics by some of the key researchers in both communities and aim at highlighting the most salient ideas, proofs and questions which are important and fertile for cross-pollination’ between PDE and SPDE. Topics include:  Global dynamics and singularity formation for geometric and physical nonlinear wave and dispersive models (critical and supercritical regimes); dynamics of infinite dimensional systems (critical phenomena, multi scale dynamics and metastability); symplectic structures of infinite dimensional dynamical systems; randomization and long time dynamics, invariant Gibbs and weighted Wiener measures; derivation of effective dynamics in quantum systems; weak turbulence phenomena; optimization and learning algorithms: distributed, stochastic and parallel.

Updated on May 06, 2017 01:18 AM PDT
44. # Introductory Workshop: Randomness and long time dynamics in nonlinear evolution differential equations

Organizers: Kay Kirkpatrick (University of Illinois at Urbana-Champaign), LEAD Yvan Martel (École Polytechnique), LEAD Luc Rey-Bellet (University of Massachusetts, Amherst), Gigliola Staffilani (Massachusetts Institute of Technology)

The purpose of the program New Challenges in PDE: Deterministic Dynamics and Randomness in High and Infinite Dimensional Systems is to bring together a core group of mathematicians from the dispersive PDE and the SPDE communities whose research contains an underlying and unifying problem:  analyzing high or infinite dimensional dynamics, where dynamics is understood in a broad sense and arising from the flows generated by either deterministic or stochastic partial differential equations, or from dynamical evolution of large physical systems.

The introductory workshop will serve as an overview to the program.  It aims at familiarizing graduate students, postdocs, and other researchers to the major topics of the program through short courses and discussions.

Updated on May 06, 2017 01:18 AM PDT
45. # Connections for Women: Dispersive and Stochastic PDE

Organizers: LEAD Kay Kirkpatrick (University of Illinois at Urbana-Champaign), Andrea Nahmod (University of Massachusetts, Amherst)

This workshop will consist of various talks given by prominent female mathematicians whose research lies in and interfaces with the fields of nonlinear evolution dispersive PDE, wave phenomena and stochastic processes.  These talks will be appropriate for graduate students, post-docs, and researchers in areas above mentioned.  The workshop will allocate ample time for group discussions and will include a professional development session.

This workshop is open to all mathematicians.

Updated on May 06, 2017 01:18 AM PDT
46. # Advances in Homogeneous Dynamics

Organizers: LEAD Dmitry Kleinbock (Brandeis University), Hee Oh (Yale University), Alireza Salehi Golsefidy (University of California, San Diego), Ralf Spatzier (University of Michigan)

The Advances in Homogeneous Dynamics workshop will feature the speakers whose work is at the forefront of the field. There will be a panel discussion accompanied by an open problem session to lay out possible directions for the research in homogeneous dynamics. Talks will be in a broad range of topics and this will help to build more connections between researchers interested in dynamical systems, number theory and geometry. For example we hope that the involvement of the participants of the other program held at MSRI during the same academic year (Dynamics on Moduli Spaces of Geometric Structures, Spring 2015) would create new connections between the topics. There will be shorter talks presented by early-career researchers

Updated on May 06, 2017 01:18 AM PDT
47. # Dynamics on Moduli Spaces

Organizers: Marc Burger (ETH Zürich), LEAD David Dumas (University of Illinois at Chicago), Olivier Guichard (Université de Strasbourg I (Louis Pasteur)), François Labourie (Universite de Nice Sophia Antipolis), Anna Wienhard (Ruprecht-Karls-Universität Heidelberg)

The Research Workshop of the Dynamics on moduli spaces of geometric structures'' will concentrate on some of the following general interrelated themes:

(1) Geometric structures on the spaces of geometric structures which extend and generalize classical constructions on Teichmüller spaces, such as the Weil-Petersoon metric, the pressure metric, the Teichmüller metric and its geodesic flow, Fenchel-Nielsen coordinates, Fock-Goncharov Thurson-Penner coordinates, and the symplectic and Poisson  geometries

(2) Relations with harmonic maps, Riemann surfaces, complex geometry:  specifically Higgs  bundles, holomorphic differentials (quadratic, cubic, etc.) as parameters  for representations  of the fundamental group, hyperkähler and complex symplectic geometry of  moduli spaces,   lifts of Teichmüller geodesic flows to flat bundles of character varieties

(3) Asymptotic properties of higher Teichmüller spaces, including generalized measured geodesic laminations, Culler-Morgan-Shalen asymptotics of character varieties, degenerations of geometric structures and discrete subgroups

(4) Actions of mapping class groups and outer automorphism groups,  properness criteria for Anosov representations and their generalizations,  properness criteria for non-discrete representations, chaotic actions of  mapping class groups and the monodromy map from structures to  representations

(5) Classification of exotic geometric structures, tameness criteria, generalizations of ending lamination-type invariants to higher rank structures, rigidity and flexibility for thin subgroups, arithmeticity conditions, and geometric transitions

Updated on May 06, 2017 01:18 AM PDT
48. # Introductory Workshop: Geometric and Arithmetic Aspects of Homogeneous Dynamics

Organizers: Manfred Einsiedler (ETH Zürich), LEAD Jean-François Quint (Université de Bordeaux I), Barbara Schapira (Université de Picardie (Jules Verne))

This Introductory Workshop will consist of several introductory lectures and series of lectures on the recent trends in the field, given by experts in the domain. In addition, there will be several shorter talks by young researchers.

Please note that immediately preceding this workshop there is a Connections for Women workshop which will also be introductory in nature.

Updated on May 06, 2017 01:18 AM PDT
49. # Connections for Women: Geometric and Arithmetic Aspects of Homogeneous Dynamics

Organizers: Elon Lindenstrauss (The Hebrew University of Jerusalem), LEAD Hee Oh (Yale University)

This workshop will consist of several mini-courses given by prominent female mathematicians in the field, intended for graduate students, post-docs, and researchers in areas related to the program. The workshop will also include an informal panel discussion session among female researchers on career issues. This workshop is open to all mathematicians.

Updated on May 06, 2017 01:18 AM PDT
50. # Introductory Workshop: Dynamics on Moduli Spaces of Geometric Structures

Organizers: Richard Canary (University of Michigan), LEAD William Goldman (University of Maryland), Ursula Hamenstädt (Rheinische Friedrich-Wilhelms-Universität Bonn), Alessandra Iozzi (ETH Zürich)

The deformation theory of geometric structures on manifolds  is a subfield of differential geometry and topology, with a heavy infusion of Lie theory. Its richness stems from close relations to dynamical systems, algebraic geometry, representation theory, Lie theory, partial differential equations, number theory, and complex analysis.

The introductory workshop will serve  as an overview to the  program.   It aims to familiarize graduate students, post-docs, and other researchers to the major topics of the program. There will be a number of short courses.

Updated on May 06, 2017 01:18 AM PDT
51. # Connections for Women: Dynamics on Moduli Spaces of Geometric Structures

Organizers: Virginie Charette (University of Sherbrooke), LEAD Fanny Kassel (Institut des Hautes Études Scientifiques (IHES)), Karin Melnick (University of Maryland), Anna Wienhard (Ruprecht-Karls-Universität Heidelberg)

This two-day workshop will consist of various talks given by prominent female mathematicians in the field.  These will be appropriate for graduate students, post-docs, and researchers in areas related to the program.  The workshop will also include a professional development session.

This workshop is open to all mathematicians.

Updated on May 06, 2017 01:18 AM PDT
52. # Automorphic forms, Shimura varieties, Galois representations and L-functions

Organizers: LEAD Pierre Colmez (Institut de Mathématiques de Jussieu), Stephen Kudla (University of Toronto), Elena Mantovan (California Institute of Technology), Ariane Mézard (Institut de Mathématiques de Jussieu; École Normale Supérieure), Richard Taylor (Stanford University)

L-functions attached to Galois representations coming from algebraic geometry contain subtle arithmetic information (conjectures of Birch and Swinnerton-Dyer, Deligne, Beilinson, Bloch and Kato, Fontaine and Perrin-Riou). Langlands has predicted the existence of a correspondence relating these L-functions to L-functions of automorphic forms which are much better understood. The workshop will focus on recent developments related to Langlands correspondence (construction of Galois representations attached to automorphic forms via the cohomology of Shimura varieties, modularity of Galois representations...) and arithmetic of special values of L-functions.

It will be dedicated to Michael Harris as a tribute to his enormous influence on the themes of the workshop.

Updated on May 06, 2017 01:18 AM PDT
53. # Categorical Structures in Harmonic Analysis

Organizers: Thomas Haines (University of Maryland), Florian Herzig (University of Toronto), LEAD David Nadler (University of California, Berkeley)

The workshop will focus on the role of categorical structures in number theory and harmonic analysis, with an emphasis on the setting of the Langlands program. Celebrated examples of this theme range from Lusztig's character sheaves to Ngo's proof of the Fundamental Lemma. The workshop will be a forum for researchers from a diverse collection of fields to compare problems and strategies for solutions.

Updated on May 06, 2017 01:18 AM PDT
54. # Introductory Workshop: Geometric Representation Theory

Organizers: David Ben-Zvi (University of Texas, Austin), Kevin McGerty (University of Oxford)

Geometric Representation Theory is a very active field, at the center of recent advances in Number Theory and Theoretical Physics. The principal goal of the Introductory Workshop will be to provide a gateway for graduate students and new post-docs to the rich and exciting, but potentially daunting, world of geometric representation theory. The aim is to explore some of the fundamental tools and ideas needed to work in the subject, helping build a cohort of young researchers versed in the geometric and physical sides of the Langlands philosophy.

Updated on May 06, 2017 01:18 AM PDT
55. # Connections for Women: Geometric Representation Theory

Organizers: LEAD Monica Vazirani (University of California, Davis), Eva Viehmann (TU München)

Within the broad range of geometric representation theory the Connections Workshop will focus on three research topics in which we expect particularly striking new developments within the next few years:
* Categorical and geometric structures in representation theory and Lie superalgebras
* Geometric construction of representations via Shimura varieties and related moduli spaces
* Hall algebras and representations

The workshop will bring together researchers from these different topics within geometric representation theory and will thus facilitate a successful start of the semester program. It will give junior researchers from each of these parts of geometric representation theory a broader picture of possible applications and of new developments, and will establish a closer contact between junior and senior researchers.
This workshop is aimed at encouraging and increasing the active participation of women and members of under-represented groups in the MSRI program.

All are welcome to participate in the scientific portions of the workshop and the panel discussion, regardless of gender.

Updated on May 06, 2017 01:18 AM PDT
56. # Introductory Workshop: New Geometric Methods in Number Theory and Automorphic Forms

Organizers: Laurent Berger (École Normale Supérieure de Lyon), Ariane Mézard (Institut de Mathématiques de Jussieu; École Normale Supérieure), LEAD Akshay Venkatesh (Institute for Advanced Study), Shou-Wu Zhang (Princeton University)

The goal of this workshop is to give a practical introduction to some of the main topics and techniques related to the August-December 2014 MSRI program, "New geometric methods in number theory and automorphic forms."   The workshop is aimed at graduate students and interested researchers in number theory or related fields.

There will be  lecture series on periods of automorphic forms, Shimura varieties, and representations of p-adic groups,as well as more advanced topics, including p-adic Hodge theory and the cohomology of arithmetic groups.

Updated on May 06, 2017 01:18 AM PDT
57. # Connections for Women: New Geometric Methods in Number Theory and Automorphic Forms

Organizers: Wenching Li (Pennsylvania State University), LEAD Elena Mantovan (California Institute of Technology), Sophie Morel (Princeton University), Ramdorai Sujatha (University of British Columbia)

This 2-day workshop will showcase the contributions of female mathematicians to the three main themes of the associated MSRI program: Shimura varieties, p-adic automorphic forms, periods and L-functions. It will bring together women who are working in these areas in all stages of their careers, featuring lectures by both established leaders and emerging researchers. In addition, there will be a poster session open to all participants and an informal panel discussion on career issues.

Updated on May 06, 2017 01:18 AM PDT
58. # Model Theory in Geometry and Arithmetic

Organizers: Raf Cluckers (Université de Lille I (Sciences et Techniques de Lille Flandres Artois)), LEAD Jonathan Pila (University of Oxford), Thomas Scanlon (University of California, Berkeley)

The workshop will feature talks in a range of topics where model theory interacts with other parts of mathematics, especially number theory and arithmetic geometry, including: motivic integration, algebraic dynamics, diophantine geometry, and valued fields.

Updated on May 01, 2019 02:09 PM PDT
59. # Reimagining the Foundations of Algebraic Topology

Organizers: Vigleik Angeltveit (Australian National University), Mark Behrens (Massachusetts Institute of Technology), Julie Bergner (University of Virginia), LEAD Andrew Blumberg (University of Texas, Austin)

Recent innovations in higher category theory have unlocked the potential to reimagine the basic tools and constructions in algebraic topology. This workshop will explore the interplay between these higher and $\infty$-categorical techniques with classical algebraic topology, playing each off of the other and returning the field to conceptual, geometrical intuition.

Updated on May 06, 2017 01:18 AM PDT
60. # Connections for Women: Model Theory and Its Interactions with Number Theory and Arithmetic Geometry

Organizers: Kirsten Eisentraeger (Pennsylvania State University), Julia Gordon (University of British Columbia), Deirdre Haskell (McMaster University)

The development of model theory has always been influenced by its potential applications.
Recent years have seen a remarkable flowering of that development, with many exciting applications of model theory in number theory and algebraic geometry. The introductory workshop will aim to increase these interactions by exposing the techniques of model theory to the number theorists and algebraic geometers, and the problems of number theory and algebraic geometry to the model theorists. The Connections for Women workshop will focus on presenting current research on the borders of these subjects, with particular emphasis on the contributions of women. In addition, there will be some social occasions to allow young women and men to make connections with established researchers, and a panel discussion addressing the challenges faced by all young researchers, but especially by women, in establishing a career in mathematics.

Updated on May 06, 2017 01:18 AM PDT
61. # Introductory Workshop: Model Theory, Arithmetic Geometry and Number Theory

Organizers: Elisabeth Bouscaren (Centre National de la Recherche Scientifique (CNRS)), Antoine Chambert-Loir (Institut de Mathematiques de Jussieu), LEAD Rahim Moosa (University of Waterloo)

Model theory is a branch of mathematical logic whose structural techniques have proven to be remarkably useful in arithmetic geometry and number theory. We will introduce in this workshop some of the main themes of the program.

In particular, we will be offering the following tutorials:
1. An Introduction to Stability-Theoretic Techniques, by Pierre Simon.
2. Model Theory and Diophantine Geometry, by Antoine Chambert-Loir, Ya'acov Peterzil, and  Anand Pillay.
3. Valued Fields and Berkovich Spaces, by Deirdre Haskell and Martin Hils.
4. Model Theory and Additive Combinatorics, by Lou van den Dries.

In addition to the tutorials there will be several "state of the art" lectures on the program topics, indicating recent results as well as directions for future work. Speakers include Ekaterina Amerik, Ehud Hrushovski, Alice Medvedev, Terence Tao, and Margaret Thomas.

The introductory workshop aims to familiarize graduate students, postdocs, and non-experts to major and new topics of the current program. Though the audience is expected to have a general mathematical background, knowledge of technical terminology and recent findings is not assumed.

Updated on May 01, 2019 02:03 PM PDT
62. # Introductory Workshop: Algebraic Topology

Organizers: Teena Gerhardt (Michigan State University), Jesper Grodal (University of Copenhagen), Kathryn Hess (École Polytechnique Fédérale de Lausanne (EPFL)), LEAD Michael Hill (University of California, Los Angeles)

Algebraic topology is a rich, vibrant field with close connections to many branches of mathematics. This workshop will describe the state of the field, focusing on major programs, open problems, exciting new tools, and cutting edge techniques.

The introductory workshop serves as an overview to the overlying programmatic theme. It aims to familiarize graduate students, postdocs, and non-experts to major and new topics of the current program. Though the audience is expected to have a general mathematical background, knowledge of technical terminology and recent findings is not assumed.

Updated on May 06, 2017 01:18 AM PDT
63. # Connections for Women: Algebraic Topology

Organizers: Julie Bergner (University of Virginia), LEAD Teena Gerhardt (Michigan State University), Brooke Shipley (University of Illinois at Chicago)

This two-day workshop will consist of short courses given by prominent female mathematicians in the field. These introductory courses will be appropriate for graduate students, post-docs, and researchers in related areas. The workshop will also include a panel discussion featuring successful women at various stages in their mathematical careers.

Updated on May 01, 2019 01:55 PM PDT
64. # Infinite-Dimensional Geometry

Organizers: Lawrence Evans (University of California, Berkeley), Dmitry Jakobson (McGill University), Robert McCann (University of Toronto), LEAD Stephen Preston (University of Colorado)

The purpose of this workshop is to gather researchers working in various areas of geometry in infinite dimensions in order to facilitate collaborations and sharing of ideas. Topics represented include optimal transport and geometries on densities, metrics on shape spaces, Euler-Arnold equations on diffeomorphism groups, the universal Teichmuller space, geometry of random Riemann surfaces, metrics on spaces of metrics, and related areas. The workshop will be held on the campus of University of California Berkeley (60 Evans Hall) the weekend of December 7-8, 2013. It is funded by an NSF grant.

Updated on May 06, 2017 01:18 AM PDT
65. # Initial Data and Evolution Problems in General Relativity

Organizers: LEAD Piotr Chrusciel (Universität Wien), LEAD Igor Rodnianski (Princeton University)

This workshop discusses recent developments both in the study of the properties of initial data for Einstein's equations, and in the study of solutions of the Einstein evolution problem. Cosmic censorship, the formation and stability of black holes, the role of mass and quasi-local mass, and the construction of solutions of the Einstein constraint equations are focus problems for the workshop. We highlight recent developments, and examine major areas in which future progress is likely.

Updated on May 06, 2017 01:18 AM PDT
66. # Fluid Mechanics, Hamiltonian Dynamics, and Numerical Aspects of Optimal Transportation

Organizers: Yann Brenier (École Polytechnique), Michael Cullen (Met Office), LEAD Wilfrid Gangbo (University of California, Los Angeles), Allen Tannenbaum (State University of New York, Stony Brook)

The workshop will be devoted to emerging approaches to fluid mechanical, geophysical and kinetic theoretical flows based on optimal transportation. It will also explore numerical approaches to optimal transportation problems.

Updated on May 01, 2019 01:27 PM PDT
67. # Introductory Workshop: Mathematical Relativity

Organizers: LEAD Justin Corvino (Lafayette College), Greg Galloway (University of Miami), Hans Ringström (Royal Institute of Technology (KTH))

Mathematical relativity is a very widely ranging area of mathematical study, spanning differential geometry, elliptic and hyperbolic PDE, and dynamical systems. We introduce in this workshop some of the leading areas of current interest associated with problems in cosmology, the theory of black holes, and the geometry and physics of the Cauchy problem (initial data constraints and evolution) for the Einstein equations.

The introductory workshop serves as an overview to the overlying programmatic theme. It aims to familiarize graduate students, postdocs, and non-experts to major and new topics of the current program. Though the audience is expected to have a general mathematical background, knowledge of technical terminology and recent findings is not assumed.

Updated on May 01, 2019 01:09 PM PDT
68. # Connections for Women: Mathematical General Relativity

Organizers: Beverly Berger (None), LEAD Lydia Bieri (University of Michigan), Iva Stavrov (Lewis and Clark College)

Ever since the epic work of Yvonne Choquet-Bruhat on the well-posedness of Einstein's equations initiated the mathematical study of general relativity, women have played an important role in many areas of mathematical relativity. In this workshop, some of the leading women researchers in mathematical relativity present their work.

Updated on May 01, 2019 01:06 PM PDT
69. # Introductory Workshop on Optimal Transport: Geometry and Dynamics

Organizers: Luigi Ambrosio (Scuola Normale Superiore), Lawrence Evans (University of California, Berkeley), LEAD Alessio Figalli (University of Texas, Austin)

The workshop is intended to give an overview of the research landscape surrounding optimal transportation, including its connections to geometry, design applications, and fully nonlinear partial differential equations.

As such, it will feature some survey lectures or minicourses by distinguished visitors and/or a few of the organizers of the theme semester, amounting to a kind of summer school. These will be complemented by a sampling of research lectures and short presentations from a spectrum of invited guests and other participants, including some who attended the previous week's {\em Connections for Women} workshop.

The introductory workshop aims to familiarize graduate students, postdocs, and non-experts to major and new topics of the current program. Though the audience is expected to have a general mathematical background, knowledge of technical terminology and recent findings is not assumed.

Updated on May 06, 2017 01:18 AM PDT
70. # Connections for Women on Optimal Transport: Geometry and Dynamics

Organizers: Sun-Yung Chang (Princeton University), Panagiota Daskalopoulos (Columbia University), Robert McCann (University of Toronto), Maria Westdickenberg (RWTH Aachen)

This two-day event aims to connect women graduate students and beginning researchers with more established female researchers who use optimal transportation in their work and can serve as professional contacts and potential role-models. As such, it will showcase a selection of lectures featuring female scientists, both established leaders and emerging researchers.

These lectures will be interspersed with networking and social events such as lunch or tea-time discussions led by successful researchers about (a) the particular opportunities and challenges facing women in science---including practical topics such as work-life balance and choosing a mentor, and (b) promising new directions in optimal transportation and related topics. Junior participants will be paired with more senior researchers in mentoring groups, and all participants will be encouraged to stay for the Introductory Workshop the following week, where they will have the opportunity to propose a short research communication.

Updated on May 06, 2017 01:18 AM PDT
71. # The Commutative Algebra of Singularities in Birational Geometry: Multiplier Ideals, Jets, Valuations, and Positive Characteristic Methods

Organizers: Craig Huneke (University of Virginia), Yujiro Kawamata (University of Tokyo), Mircea Mustaţă (University of Michigan), Karen Smith (University of Michigan), Kei-ichi Watanabe (Nihon University)

The workshop will examine the interplay between measures of singularities coming both from characteristic p methods of commutative algebra, and invariants of singularities coming from birational algebraic geometry. There is a long history of this interaction which arises via the "reduction to characteristic p" procedure. It is only in the last few years, however, that very concrete objects from both areas, namely generalized test ideals from commutative algebra and multiplier ideals from birational geometry, have been shown to be intimately connected. This workshop will explore this connection, as well as other topics used to study singularities such as jets schemes and valuations.

Updated on May 01, 2019 12:57 PM PDT
72. # Interactions between Noncommutative Algebra, Representation Theory, and Algebraic Geometry

Organizers: Victor Ginzburg (University of Chicago), Iain Gordon (University of Edinburgh, UK), Markus Reineke (Bergische Universität Wuppertal, Germany), Catharina Stroppel* (University of Bonn, Germany), and James Zhang (University of Washington)

In recent years there have been increasing interactions between noncommutative algebra/representation theory on the one hand and algebraic geometry on the other. This workshop would aim to examine these interactions and, as importantly, to encourage the interactions between the three areas. The precise topics will become more precise nearer the time, but will certainly include:

Noncommutative algebraic geometry; Noncommutative resolutions of singularities and Calabi-Yau algebras; Symplectic reflection and related algebras; D-module theory; Deformation-quantization

Updated on May 06, 2017 01:18 AM PDT
73. # Representation Theory, Homological Algebra, and Free Resolutions

Organizers: Luchezar Avramov (University of Nebraska), David Eisenbud (University of California, Berkeley), and Irena Peeva* (Cornell University)

The workshop will focus on recent breakthroughs in understanding and applications of free resolutions and on interactions of commutative algebra and representation theory, where algebraic geometry often appears as a third player. A specific goal is to stimulate further interaction between these fields.

Updated on Jan 23, 2020 05:29 AM PST
74. # Introductory Workshop: Noncommutative Algebraic Geometry and Representation Theory

Organizers: Michael Artin (Massachusetts Institute of Technology - MIT), Michel Van den Bergh* (Vrije Universiteit Brussel), and Toby Stafford (University of Manchester)

This workshop will provide several short lecture series consisting two or three lectures each to introduce postdocs, graduate students and non-experts to some of the major themes of the conference. While the precise topics may change to reflect developments in the area, it is likely that we will run mini-series in the following subjects:

Noncommutative algebraic geometry; D-Module Theory; Derived Categories; Noncommutative Resolutions of Singularities; Deformation-Quantization; Symplectic Reflection Algebras; Growth Functions of Infinite Dimensional Algebras.

Updated on Jan 28, 2020 12:20 AM PST
75. # Connections for Women: Noncommutative Algebraic Geometry and Representation Theory

Organizers: Georgia Benkart (University of Wisconsin), Ellen Kirkman* (Wake Forest University), and Susan Sierra (Princeton University & University of Edinburgh)

The Connections for Women workshop associated to the MSRI program in noncommutative algebraic geometry and representation theory is intended to bring together women who are working in these areas in all stages of their careers.

As the first event in the semester, this workshop will feature a "tapas menu" of current research and open questions: light but intriguing tastes, designed to encourage further exploration and interest. Talks will be aimed at a fairly general audience and will cover diverse topics within the theme of the program. In addition, there will be a poster session for graduate students and recent PhD recipients and a panel discussion on career issues, as well as free time for informal discussion.

Updated on Jan 28, 2020 12:15 AM PST
76. # Combinatorial Commutative Algebra and Applications

Organizers: Winfried Bruns (Universität Osnabrück), Alicia Dickenstein (University of Buenos Aires, Argentina), Takayuki Hibi (Osaka University), Allen Knutson* (Cornell University), and Bernd Sturmfels (University of California, Berkeley)

This workshop on Combinatorial Commutative Algebra aims to bring together researchers studying toric algebra and degenerations, simplicial objects such as monomial ideals and Stanley-Reisner rings, and their connections to tropical geometry, algebraic statistics, Hilbert schemes, D-modules, and hypergeometric functions.

Updated on Jan 26, 2020 12:20 AM PST
77. # Cluster Algebras in Combinatorics, Algebra, and Geometry

Organizers: Claire Amiot (Université de Strasbourg), Sergey Fomin (University of Michigan), Bernard Leclerc (Université de Caen), and Andrei Zelevinsky* (Northeastern University)

Cluster algebras provide a unifying algebraic/combinatorial framework for a wide variety of phenomena in settings as diverse as quiver representations, Teichmuller theory, Poisson geometry, Lie theory, discrete integrable systems, and polyhedral combinatorics.

The workshop aims at presenting a broad view of the state-of-the-art understanding of the role of cluster algebras in all these areas, and their interactions with each other.

Updated on Jan 26, 2020 12:20 AM PST
78. # Joint Introductory Workshop: Cluster Algebras and Commutative Algebra

Organizers: David Eisenbud* (University of California, Berkeley), Bernhard Keller (Universit´e Paris VII, France), Karen Smith (University of Michigan), and Alexander Vainshtein* (University of Haifa, Israel)

This workshop will take place at the opening of the MSRI special programs on Commutative Algebra and on Cluster Algebras. It will feature lecture series at different levels, to appeal to a wide variety of participants. There will be minicourses on the basics of cluster algebras, and others developing particular aspects of cluster algebras and commutative algebra.

Updated on Jan 26, 2020 12:20 AM PST
79. # Connections For Women: Joint Workshop on Commutative Algebra and Cluster Algebras

Organizers: Claudia Polini (University of Notre Dame), Idun Reiten (Norwegian University of Science and Technology), Karen Smith (University of Michigan), and Lauren Williams* (University of California, Berkeley)

This workshop will present basic notions from Commutative Algebra and Cluster Algebras, with a particular focus on providing background material. Additionally, the workshop aims to encourage and facilitate the exchange of ideas between researchers in Commutative Algebra and researchers in Cluster Algebras.

Updated on Jan 15, 2020 12:20 AM PST
80. # Random Walks and Random Media

Organizers: Noam Berger (The Hebrew University of Jerusalem), Nina Gantert (Technical University, Munich), Andrea Montanari (Stanford University), Alain-Sol Sznitman (Swiss Federal Institute of Technology, ETH Zurich), and Ofer Zeitouni* (University of Minnesota/Weizmann Institute)

The field of random media has been the object of intensive mathematical research over the last thirty years. It covers a variety of models, mainly from condensed matter physics, physical chemistry, and geology, where one is interested in materials which have defects or inhomogeneities. These features are taken into account by letting the medium be random. It has been found that this randomness can cause very unexpected effects in the large scale behavior of these models; on occasion these run contrary to the prevailing intuition. A feature of this area, which it has in common with other areas of statistical physics, is that what was initially thought to be just a simple toy model has turned out to be a major mathematical challenge.

Updated on May 06, 2017 01:18 AM PDT
81. # Statistical Mechanics and Conformal Invariance

Organizers: Philippe Di Francesco* (Commissariat à l' Énergie Atomique, CEA), Andrei Okounkov (Columbia University), Steffen Rohde (University of Washington ), and Scott Sheffield (Massachusetts Institute of Technology, MIT)

Our understanding of the scaling limits of discrete statistical systems has shifted in recent years from the physicists' field-theoretical approaches to the more rigorous realm of probability theory and complex analysis. The aim of this workshop is to combine both discrete and continuous approaches, as well as the statistical physics/combinatorial and the probabilistic points of view. Topics include quantum gravity, planar maps, discrete conformal analysis, SLE, and other statistical models such as loop gases.

Updated on May 06, 2017 01:18 AM PDT
82. # Percolation and Interacting Systems

Organizers: Geoffrey R. Grimmett (University of Cambridge), Eyal Lubetzky* (Microsoft Research), Jeffrey Steif (Chalmers University of Technology), and Maria E. Vares (Centro Brasileiro de Pesquisas Físicas)

Over the last ten years there has been spectacular progress in the understanding of geometrical properties of random processes. Of particular importance in the study of these complex random systems is the aspect of their phase transition (in the wide sense of an abrupt change in macroscopic behavior caused by a small variation in some parameter) and critical phenomena, whose applications range from physics, to the performance of algorithms on networks, to the survival of a biological species.

Recent advances in the scope of rigorous scaling limits for discrete random systems, most notably for 2D systems such as percolation and the Ising model via SLE, have greatly contributed to the understanding of both the critical geometry of these systems and the behavior of dynamical stochastic processes modeling their evolution. While some of the techniques used in the analysis of these systems are model-specific, there is a remarkable interplay between them. The deep connection between percolation and interacting particle systems such as the Ising and Potts models has allowed one model to successfully draw tools and rigorous theory from the other.

The aim of this workshop is to share and attempt to push forward the state-of-the-art understanding of the geometry and dynamic evolution of these models, with a main focus on percolation, the random cluster model, Ising and other interacting particle systems on lattices.

Updated on May 06, 2017 01:18 AM PDT
83. # Introductory Workshop: Lattice Models and Combinatorics

Organizers: Cédric Boutillier (Université Pierre et Marie Curie), Tony Guttmann* (University of Melbourne), Christian Krattenthaler (University of Vienna), Nicolai Reshetikhin (University of California, Berkeley), and David Wilson (Microsoft Research)

Research at the interface of lattice statistical mechanics and combinatorial problems of `large sets" has been and exciting and fruitful field in the last decade or so. In this workshop we plan to develop a broad spectrum of methods and applications, spanning the spectrum from theoretical developments to the numerical end. This will cover the behaviour of lattice models at a macroscopic level (scaling limits at criticality and their connection with SLE) and also at a microscopic level (combinatorial and algebraic structures), as well as efficient enumeration techniques and Monte Carlo algorithms to generate these objects.

Updated on May 06, 2017 01:18 AM PDT
84. # Connections for Women: Discrete Lattice Models in Mathematics, Physics, and Computing

Organizers: Beatrice de Tiliere (University Pierre et Marie Curie), Dana Randall* (Georgia Institute of Technology), and Chris Soteros (University of Saskatchewan)

This 2-day workshop will bring together researchers from discrete mathematics, probability theory, theoretical computer science and statistical physics to explore topics at their interface. The focus will be on combinatorial structures, probabilistic algorithms and models that arise in the study of physical systems. This will include the study of phase transitions, probabilistic combinatorics, Markov chain Monte Carlo methods, and random structures and randomized algorithms.

Since discrete lattice models stand at the interface of these fields, the workshop will start with background talks in each of the following three areas: Statistical and mathematical physics; Combinatorics of lattice models; Sampling and computational issues. These talks will describe the general framework and recent developments in the field and will be followed with shorter talks highlighting recent research in the area.

The workshop will celebrate academic and gender diversity, bringing together women and men at junior and senior levels of their careers from mathematics, physics and computer science.

Updated on May 06, 2017 01:18 AM PDT
85. # Quantitative Geometry in Computer Science

Organizers: Irit Dinur (Weizmann Institute), Subhash Khot (Courant Institute), Manor Mendel* (Open University of Israel and Microsoft Research), Assaf Naor (Courant Institute), and Alistair Sinclair (University of California, Berkeley)

Geometric problems which are inherently quantitative occur in various aspects of theoretical computer science, including
a) Algorithmic tasks for geometric questions such as clustering and proximity data structures.
b) Geometric methods in the design of approximation algorithms for combinatorial optimization problems, including the analysis of semidefinite programs and embedding methods.
c) Geometric questions arising from computational complexity, particularly in hardness of approximation. These include isoperimetric and Fourier analytic problems. These include isoperimetric and Fourier analytic problems.

This workshops aims to present recent progress in these directions.

Updated on May 06, 2017 01:18 AM PDT
86. # Embedding Problems in Banach Spaces and Group Theory

Organizers: William Johnson* (Texas A&M University), Bruce Kleiner (Yale University and Courant Institute), Gideon Schechtman (Weizmann Institute), Nicole Tomczak-Jaegermann (University of Alberta), and Alain Valette (Université de Neuchâtel)

This workshop is devoted to various kinds of embeddings of metric spaces into Banach spaces, including biLipschitz embeddings, uniform embeddings, and coarse embeddings, as well as linear embeddings of finite dimensional spaces into low dimensional $\ell_p^n$ spaces. There will be an emphasis on the relevance to geometric group theory, and an exploration into the use of metric differentiation theory to effect embeddings.

Updated on May 06, 2017 01:18 AM PDT
87. # Probabilistic Reasoning in Quantitative Geometry

Organizers: Anna Erschler* (Université Paris-Sud), Assaf Naor (Courant Institute), and Yuval Peres (Microsoft Research)

"Probabilistic Reasoning in Quantitative Geometry" refers to the use of probabilistic techniques to prove geometric theorems that do not have any a priori probabilistic content. A classical instance of this approach is the probabilistic method to prove existence of geometric objects (examples include Dvoretzky's theorem, the Johnson-Lindenstrauss lemma, and the use of expanders and random graphs for geometric constructions). Other examples are the use of probabilistic geometric invariants in the local theory of Banach spaces (sums of independent random variables in the context of type and cotype, and martingale-based invariants), the more recent use of such invariants in metric geometry (e.g., Markov type in the context of embedding and extension problems), probabilistic tools in group theory, the use of probabilistic methods to prove geometric inequalities (e.g., maximal inequalities, singular integrals, Grothendieck inequalities), the use of probabilistic reasoning to prove metric embedding results such as Bourgain's embedding theorem (where the embedding is deterministic, but its analysis benefits from a probabilistic interpretation), probabilistic interpretations of curvature and their applications, and the use of probabilistic arguments in the context of isoperimetric problems (e.g., Gaussian, rearrangement, and transportation cost methods).

Updated on May 06, 2017 01:18 AM PDT
88. # Introductory Workshop on Quantitative Geometry

Organizers: Keith Ball (University College London), Eva Kopecka* (Mathematical Institute, Prague), Assaf Naor (Courant Institute), and Yuval Peres (Microsoft Research)

Quantitative Geometry deals with geometric questions in which quantitative or asymptotic considerations occur. The workshop will provide a mathematical introduction, a foretaste, of the many themes this exciting topic comprises: geometric group theory, theory of Lipschitz functions, large scale and coarse geometry, embeddings of metric spaces, quantitative aspects of Banach space theory, geometric measure theory and of isoperimetry, and more.

Updated on Jan 25, 2020 07:24 AM PST
89. # Connections for Women in Quantitative Geometry

Organizers: Keith Ball* (University College London), Eva Kopecka (Mathematical Institute, Prague), Assaf Naor (Courant Institute), and Yuval Peres (Microsoft Research)

This workshop will provide an introduction to the program on Quantitative Geometry. There will be several short lecture series, given by speakers chosen for the accessibility of their lectures, designed to introduce non-specialists or students to some of the major themes of the program.

Updated on Dec 30, 2019 12:20 AM PST
90. # Arithmetic Statistics

Organizers: Brian Conrey (American Institute of Mathematics), Barry Mazur (Harvard University), and Michael Rubinstein* (University of Waterloo)

Our workshop will highlight some work relevant to or carried out during our program at the MSRI, including statistical results about ranks for elliptic curves, zeros of L-functions, curves over finite fields, as well as algorithms for L-functions, point counting, and automorphic forms.

Updated on May 06, 2017 01:18 AM PDT
91. # Free Boundary Problems, Theory and Applications

Organizers: John King (University of Nottingham), Arshak Petrosyan* (Purdue University), Henrik Shahgholian (Royal Institute of Technology), and Georg Weiss (University of Dusseldorf)

Many problems in physics, industry, finance, biology, and other areas can be described by partial differential equations that exhibit apriori unknown sets, such as interfaces, moving boundaries, shocks, etc. The study of such sets, also known as free boundaries, often occupies a central position in such problems. The main objective of the workshop is to bring together experts in various theoretical an applied aspects of free boundary problems.

Updated on May 06, 2017 01:18 AM PDT
92. # Introductory Workshop: Arithmetic Statistics

Organizers: Barry Mazur (Harvard University), Carl Pomerance (Dartmouth College), and Michael Rubinstein* (University of Waterloo)

Our Introductory Workshop will focus largely on the background, recent work, and current problems regarding: Selmer groups and Mordell-Weil groups, and the distribution of their ranks (and "sizes") over families of elliptic curves, including recent work of Manjul Bhargava and Arul Shankar where they have shown that the average size of the 2-Selmer group of an elliptic curve over Q is 3, and thereby obtains information about the average rank of Mordell-Weil groups; related work on the asymptotics of number fields; certain natural families of L-functions, and the statistical distribution of their zeros and values; complementary algorithmic methods and experimental results regarding L-functions, automorphic forms, elliptic curves and number fields; the statistical behavior of eigenvalues of Frobenius elements in Galois representations.

Updated on May 06, 2017 01:18 AM PDT
93. # Connections for Women: Arithmetic Statistics

Organizers: Chantal David (Concordia University) and Nina Snaith* (University of Bristol)

The format of this 2-day workshop will be colloquium-style presentations that will introduce some of the major topics touched on by the "Arithmetic Statistics" program. They will be pitched so as to be understandable to researchers with a variety of mathematical backgrounds. The talks are designed broadly as a lead-in to the program's initial workshop (taking place the following week) and will include topics such as the Sato-Tate conjecture, random matrix theory, and enumeration of number fields. The purpose will be to provide background but also to present the exciting areas where progress is happening fast, where major problems have been solved, or where there are significant open questions that need to be tackled. With this we aim to provide motivation for the Connections participants to involve themselves with the remainder of the program.

Updated on May 06, 2017 01:18 AM PDT
94. # Introductory Workshop: Free Boundary Problems, Theory and Applications

Organizers: Tatiana Toro* (University of Washington)

Many problems in physics, industry, finance, biology, and other areas can be described by partial differential equations that exhibit a priori unknown sets, such as interfaces, moving boundaries or shocks for example. The study of such sets, also known as free boundaries, often plays a central role in the understanding of such problems. The aim of this workshop is to introduce several free boundary problems arising in completely different areas.

Updated on May 06, 2017 01:18 AM PDT
95. # Connections for Women: Free Boundary Problems, Theory and Applications

Organizers: Catherine Bandle (University of Basel), Claudia Lederman (University of Buenos Aires), Noemi Wolanski (University of Buenos Aires)

Contributions of women working in areas related to free boundary problems will be presented. It will include survey lectures on current problems and on standard techniques used in this field, as well as more specific new results of individual researchers. One of the major goals besides the scientific aspect, is to encourage women mathematicians to interact and to build networks. It addresses also to graduate students who are very welcome. A discussion on women’s experiences in the mathematical community should help them to find their way in their mathematical career.

Updated on May 06, 2017 01:18 AM PDT
96. # Random Matrix Theory and its Applications II

Organizers: Alexei Borodin* (California Institute of Technology), Percy Deift (Courant Institute of Mathematical Sciences), Alice Guionnet (Ecole Normale Supérieure de Lyon), Pierre van Moerbeke (Universite Catholique de Louvain and Brandeis University), and Craig A.Tracy (University of California, Davis)

Random matrix theory (RMT) was introduced into the theoretical physics community by Eugene Wignerinthe 1950s as a model for the scattering resonances of neutrons off large nuclei. In multivariate statistics, random matrix models were introduced in the late 1920s by John Wishart and subsequently developed by Anderson, James and others. Since these early beginnings RMT has found an extraordinary variety of mathematical, physical and engineering applications that, to name some, include number theory, stochastic growth models, tiling problems and wireless communications.

Updated on May 06, 2017 01:18 AM PDT
97. # Inverse Problems: Theory and Applications

Organizers: Liliana Borcea (Rice University), Carlos Kenig (University of Chicago), Maarten de Hoop (Purdue University), Peter Kuchment (Texas A&M University), Lassi Paivarinta (University of Helsinki), and Gunther Uhlmann* (University of Washington)

Inverse Problems are problems where causes for a desired or an observed effect are to be determined. They lie at the heart of scientific inquiry and technological development. Applications include a number of medical as well as other imaging techniques, location of oil and mineral deposits in the earth's substructure, creation of astrophysical images from telescope data, finding cracks and interfaces within materials, shape optimization, model identification in growth processes, and modelling in the life sciences.
The speakers in the workshop will cover a broad range of the most recent developments in the theory and applications of inverse problems.

Updated on May 06, 2017 01:18 AM PDT
98. # Connections for Women: An Introduction to Random Matrices

Organizers: Estelle Basor (American Institute of Mathematics, Palo Alto), Alice Guionnet* (Ecole Normale Supérieure de Lyon), and Irina Nenciu (University of Illinois at Chicago)

Topics covered in this workshop will include fundamental problems in random matrices, including universality questions and connections to physics, free probability, Riemann Hilbert problems and applications to other areas of mathematics such as number theory and numerical analysis.

Updated on May 06, 2017 01:18 AM PDT
99. # Random Matrix Theory and Its Applications I

Organizers: Jinho Baik (University of Michigan), Percy Deift (Courant Institute of Mathematical Sciences), Alexander Its* (Indiana University-Purdue University Indianapolis), Kenneth McLaughlin (University of Arizona), and Craig A. Tracy (University of California, Davis)

In the spring of 1999, MSRI hosted a very successful and influential one-semester program on RMT and its applications. At the workshops during the semester, there was a sense of excitement as brand new and very recent results were reported. The goal of the 2010 Program is to showcase the many remarkable developments that have taken place since 1999 and to spur further developments in RMT and Related areas of interacting particle systems (IPS) and integrable systems (IS) as well as to highlight various applications of RMT.

Updated on May 06, 2017 01:18 AM PDT
100. # Introductory Workshop on Inverse Problems and Applications

Organizers: Margaret Cheney (Rensselaer Polytechnic Institute), Gunther Uhlmann* (University of Washington), Michael Vogelius( Rutgers), and Maciej Zworski (University of California, Berkeley)

Inverse Problems are problems where causes for a desired or an observed effect are to be determined. They lie at the heart of scientific inquiry and technological development. Applications include a number of medical as well as other imaging techniques, location of oil and mineral deposits in the earth’s substructure, creation of astrophysical images from telescope data, finding cracks and interfaces within materials, shape optimization, model identification in growth processes and, more recently, modelling in the life sciences.

Updated on May 06, 2017 01:18 AM PDT
101. # Connections for Women: Inverse Problems and Applications

Organizers: Tanya Christiansen (University of Missouri, Columbia), Alison Malcolm (Massachusetts Institute of Technology), Shari Moskow (Drexel University), Chrysoula Tsogka (University of Crete), and Gunther Uhlmann* (University of Washington)

Inverse Problems are problems where causes for a desired or an observed effect are to be determined. They lie at the heart of scientific inquiry and technological development. Applications include a number of medical as well as other imaging techniques, location of oil and mineral deposits in the earth’s substructure, creation of astrophysical images from telescope data, finding cracks and interfaces within materials, shape optimization, model identification in growth processes and, more recently, modelling in the life sciences.

Updated on May 06, 2017 01:18 AM PDT
102. # Symplectic Geometry, Noncommutative Geometry and Physics

Organizers: Robbert Dijkgraaf (Amsterdam), Tohru Eguchi (Kyoto), Yakov Eliashberg* (Stanford), Kenji Fukaya (Kyoto), Yoshiaki Maeda* (Yokohama), Dusa McDuff (Stony Brook), Paul Seidel (Cambridge, MA), Alan Weinstein* (Berkeley).

Sponsor: Hayashibara Foundation

Symplectic geometry originated as a mathematical language for Hamiltonian mechanics, but during the last 3 decades it witnessed both, spectacuar development of the mathematical theory and discovery of new connections and applications to physics. Meanwhile, non-commutative geometry naturally entered into this picture.

Updated on May 06, 2017 01:18 AM PDT
103. # Symplectic and Poisson Geometry in interaction with Algebra, Analysis and Topology

Organizers: Yakov Eliashberg (Stanford University), Alvaro Pelayo* (University of California, Berkeley), Steve Zelditch (Northwestern University), Maciej Zworski (University of California, Berkeley)

The first week of May 2010 coincides with the first year anniversary of Alan Weinstein's retirement from UC Berkeley; Weinstein has been one of the most influential figures in symplectic geometry, Poisson geometry and analysis in the past forty years. Weinstein's fundamental work inspired many others and led to the development of central concepts in symplectic and Poisson geometry, as well as to the establishment of symplectic geometry as an independent discipline within mathematics. This conference will be a forum to celebrate Weinstein's fundamental contributions to geometry and mathematics at large.

Updated on May 06, 2017 01:18 AM PDT
104. # Symplectic and Contact Topology and Dynamics: Puzzles and Horizons

Organizers: Paul Biran (Tel Aviv University), John Etnyre (Georgia Institute of Technology), Helmut Hofer (Courant Institute), Dusa McDuff *(Barnard College), Leonid Polterovich (Tel Aviv University),

This workshop will focus on recent progress in central problems in
symplectic and contact topology and Hamiltonian dynamics such as
rigidity of Lagrangian submanifolds, algebra/topology/geometry of
symplectomorphism and contactomorphism groups, exotic symplectic and
contact structures, and existence of
periodic orbits of Hamiltonian systems and Reeb flows.
It will explain applications of the "large machines"
such as Floer Theory, Symplectic Field Theory and Fukaya categories,
showing where these machines do not yet provide satisfactory
answers. Special attention will also be paid to articulating
new problems and
directions, as well as to explaining
interactions between symplectic and contact
topology and other fields.

Updated on May 06, 2017 01:18 AM PDT
105. # Research Workshop: Homology Theories of Knots and Links

Organizers: Peter S. Ozsváth* (Columbia University), Mikhail Khovanov (Columbia University), Peter Teichner (UC Berkeley).

Link homology is a young and rapidly-developing area drawing on many branches of mathematics. The subject has its roots in representation theory, and it has benefitted from its interactions with low-dimensional, classical, and quantum topology and symplectic geometry. Indeed, several recent developments have underscored the close parallels between link homology and Floer homological invariants for low-dimensional manifolds.

Updated on May 06, 2017 01:18 AM PDT
106. # Introductory Workshop: Homology Theories of Knots and Links

Organizers: Aaron Lauda (Columbia University), Robert Lipshitz (Columbia University), Dylan Thurston* (Columbia University).

This workshop will introduce the main branches in the study of knot homology theories. It will consist of three mini-courses, one on knot Floer homology and related topics; one on the various approaches to
Khovanov and Khovanov-Rozansky homology; and one on categorification on quantum groups. (There will also be several stand-alone lectures.) The techniques involved in the three branches are quite different; in
particular, Heegaard Floer theory is analytic in nature, with its origin in gauge theory and symplectic geometry, while both Khovanov homology and categorification are more algebraic in nature, with origins in representation theory and algebraic geometry. The workshop will provide an opportunity for graduate students and researchers
outside the field to gain entry, as well as for researchers working in one part of the field to learn about techniques and developments in other parts.

Updated on May 06, 2017 01:18 AM PDT
107. # Connections for Women: Homology Theories of Knots and Links

Organizers: Elisenda Grigsby* (Columbia), Olga Plamenevskaya (SUNY/Stonybrook), and Katrin Wehrheim (MIT)

This 2-day workshop will serve as a prelude to the introductory workshop for the semester-long program on homology theories of knots and links. Survey talks in the mornings will position the work in Khovanov and Heegaard Floer homology in a broader context, focusing on:

1) applications to classical questions in low-dimensional topology, and
2) connections to contact and symplectic topology.

Research talks in the afternoons will highlight the range of current activity in the field. We plan a format of no more than four talks each day to allow ample time for presentation opportunities for younger researchers and formal and informal discussions.

Updated on May 06, 2017 01:18 AM PDT
108. # Tropical Structures in Geometry and Physics

Organizers: Mark Gross ( University of California San Diego), Kentaro Hori (University of Toronto), Viatcheslav Kharlamov (Université de Strasbourg (Louis Pasteur), Richard Kenyon* (Brown University)

One of the successes of tropical geometry is its applications to a number of different areas of recently developing mathematics. Among these are enumerative geometry, symplectic field theory, mirror symmetry, dimer models/random surfaces, amoebas and algas, instantons, cluster varieties, and tropical compactifications. While these fields appear quite diverse, we believe the common meeting ground of tropical geometry will provide a basis for fruitful interactions between participants.

Updated on May 06, 2017 01:18 AM PDT
109. # Algebraic Structures in the Theory of Holomorphic Curves

Organizers: Mohammed Abouzaid* ( Clay Mathematics Institute), Yakov Eliashberg (Stanford University), Kenji Fukaya (Kyoto University), Eleny Ionel (Stanford University), Lenny Ng (Duke University), Paul Seidel (MIT).

The theory of holomorphic curves in symplectic manifolds leads
to rich algebraic structures. The study of these structures is
increasingly important both for understanding the theory itself, and
for actual computations and applications. The aim of the workshop
is to survey ongoing developments in the area. Some of the topics
of interest are: cohomological field theories; relative and tropical
Gromov-Witten invariants; Symplectic Field Theory (SFT) and connections
with string topology; theories of holomorphic curves with Lagrangian
boundary conditions, such as relative SFT, open Gromov-Witten theory,
and Fukaya categories.

Updated on May 06, 2017 01:18 AM PDT
110. # Tropical Geometry in Combinatorics and Algebra

Organizers: Federico Ardila* (San Francisco State University), David Speyer (MIT), Jenia Tevelev (U Mass Amherst), Lauren Williams (Harvard)

This workshop will concentrate on tropical methods in Combinatorics
and Algebra. Some of the topics we expect to explore are
tropical ideas and methods in combinatorial linear algebra and in
combinatorial representation theory, as well as computational issues and applications of tropical methods in algebraic statistics.

Updated on May 06, 2017 01:18 AM PDT
111. # Introductory Workshop: Tropical Geometry

Organizers: Eva Maria Feichtner (U Bremen), Ilia Itenberg* (U Strasbourg), Grigory Mikhalkin (U Genève), Bernd Sturmfels (UC Berkeley)

This workshop is to lay the foundations for the upcoming program. Mini-courses comprising lectures and exercise/discussion sessions will cover the foundational aspects of tropical geometry as well as its connections with adjacent areas: symplectic geometry, several complex variables, algebraic geometry (in particular enumerative and computational aspects) and geometric combinatorics. The mini-courses will be augmented by research talks on current tropical develpoments to open the scene and set up new goals in the beginning semester.

Updated on May 06, 2017 01:18 AM PDT
112. # Connections for Women: Tropical Geometry

Organizers: Alicia Dickenstein* (U Buenos Aires), Eva Maria Feichtner* (U Bremen)

The aim of this workshop is to introduce advanced graduate students and postdocs to tropical geometry. Various aspects of this multi-faceted field will be highlighted in two short-courses comprising lectures and exercise/discussion sessions as well as in research talks. The workshop will thus provide the participants with
an excellent introduction to the forthcoming events of the program. The scientific part will be complemented by a round table discussion on career issues of female mathematicians.

Updated on May 06, 2017 01:18 AM PDT
113. # Introductory Workshop: Symplectic and Contact Geometry and Topology

Organizers: John Etnyre* (Georgia Institute of Technology), Dusa McDuff (Barnard College, Columbia University), and Lisa Traynor (Bryn Mawr).

This workshop aims both to introduce
people to a broad swath of the field
and to frame its most important problems.
Each day will be organized around a
basic topic, such as how to count holomorphic
curves with boundary on a Lagrangian submanifold (which
leads to various versions of Floer theory)
or how to understand the general structure of
symplectic and contact manifolds.
There will also be an introduction to the
analytic and algebraic aspects of symplectic
field theory, and a discussion of some applications.

Updated on May 06, 2017 01:18 AM PDT
114. # Connections for Women: Symplectic and Contact Geometry and Topology

Organizers: Eleny Ionel (Stanford University), Dusa McDuff* (Barnard College, Columbia University).

This will form a bridge between
the graduate student workshop which will just be ending and
the Introductory workshop. After some
elementary talks describing some of the main questions
in the field, there will be an extended discussion session
intended to explain basic concepts to those unfamiliar with the area.
There will also be an opportunity for young researchers in the field
to present their work, and an evening social event.

Updated on May 06, 2017 01:18 AM PDT
115. # Algebraic Geometry: Last Week of Program

Organizers: William Fulton (University of Michigan), Joe Harris (Harvard University), Brendan Hassett (Rice University), János Kollár (Princeton University), Sándor Kovács* (University of Washington), Robert Lazarsfeld (University of Michigan), and Ravi Vakil (Stanford University)

Updated on May 06, 2017 01:18 AM PDT
116. # Combinatorial, Enumerative and Toric Geometry

Organizers: Michel Brion (U. de Genoble), Anders Buch (Rutgers U.), Linda Chen (Ohio State U.), William Fulton (U. Michigan), Sándor Kovács (U. Washington), Frank Sottile (Texas A&M), Harry Tamvakis (U. Maryland), and Burt Totaro (Cambridge U.)

This workshop will present the state of the art in combinatorial, enumerative, and toric algebraic geometry. It
will highlight this part of modern algebraic geometry within the context of the broader parent program at MSRI, and convey its scope to young researchers.

Updated on May 06, 2017 01:18 AM PDT
117. # Modern Moduli Theory

Organizers: I. Coskun (U. Illinois - Chicago), S. Katz (U. Illinois), A. Marian (Institute for Advanced Study), R. Pandharipande (Princeton U.), R. Thomas (Imperial College), H.H. Tseng (U. Wisconsin), R. Vakil (Stanford U.)

This workshop will convene experts specializing on the minimal model program, derived categories and moduli
spaces in an informal environment to facilitate the cross-fertilization of ideas across these different fields of algebraic geometry.

Updated on May 06, 2017 01:18 AM PDT
118. # Classical Algebraic Geometry Today

Organizers: Lucia Caporaso (U. Rome III), Brendan Hassett (Rice U.), James McKernan (MIT), Mircea Mustata (U. Michigan), Mihnea Popa (U. Illinois - Chicago)

The main theme of the workshop will be to explore modern approaches to
problems originating in Classical Algebraic Geometry, and at the same time
offer an introduction to various subfields to the younger participants in
the semester-long program.

Updated on May 06, 2017 01:18 AM PDT
119. # Connections for Women: Algebraic Geometry and Related Fields

Organizers: Angela Gibney (U. Pennsylvania), Brendan Hassett (Rice U.), Sándor Kovács (U. Washington), Diane Maclagan (Warwick U.) Jessica Sidman (Mt. Holyoke), and Ravi Vakil (Stanford U.)

This workshop is part of the semester program on Algebraic Geometry, and
additional funding will be available for participants to attend the associated
"Introductory workshop: Classical algebraic geometry," January 26-30, 2009.

Updated on May 06, 2017 01:18 AM PDT
120. # Discrete Rigidity Phenomena in Additive Combinatorics

Organizers: Ben Green (University of Cambridge), Bryna Kra (Northwestern University), Emmanuel Lesigne (University of Tours), Anthony Quas (University of Victoria), Mate Wierdl (University of Memphis)

Updated on May 06, 2017 01:18 AM PDT
121. # Elliptic and Hyperbolic Equations on Singular Spaces

Organizers: Gilles Carron, Eugenie Hunsicker, Richard Melrose, Michael Taylor, Andras Vasy and Jared Wunsch

Updated on May 06, 2017 01:18 AM PDT
122. # Topology of Stratified Spaces

Organizers: Greg Friedman, Eugénie Hunsicker, Anatoly Libgober, and Laurentiu Maxim

This workshop will bring together researchers interested in the topology of stratified spaces. It will focus roughly on four topics: topology of complex varieties, signature theory on singular spaces, L2 and intersection cohomology, and mixed Hodge theory and singularities. Aside from talks on current research, there will be a series of introductory lectures on these themes. These talks will be aimed at strengthening the connections among the various topology research groups and the connections between topology researchers and researchers at the program on Analysis of Singular Spaces, running concurrently.

Updated on May 06, 2017 01:18 AM PDT
123. # Introductory Workshop on Analysis on Singular Spaces

Organizers: Gilles Carron, Eugenie Hunsicker, Richard Melrose, Michael Taylor, Andras Vasy and Jared Wunsch

This four-day program will be an introduction to the main themes of the Analysis on Singular Spaces program, geared toward graduate students and postdocs. It will consist of several minicourses, covering topics in
spectral and scattering theory, index theory, and $L²$-cohomology, as well as developing the technical tools needed as background.

Updated on May 06, 2017 01:18 AM PDT
124. # Broader Connections: Analysis on Singular Spaces

Organizers: Gilles Carron, Eugenie Hunsicker, Richard Melrose, Michael Taylor, Andras Vasy, and Jared Wunsch

This two-day program will consist of a "crash course" in topics in PDE relevant to the Analysis on Singular Spaces main program, and in particular will attempt to get graduate students, postdocs, and even advanced
undergraduates ready for the Introductory Workshop the following week. The focus will be topics in analysis on smooth manifolds whose generalizations to singular spaces will be the focus of the main program.

Updated on May 06, 2017 01:18 AM PDT
125. # Introduction to Ergodic Theory and Additive Combinatorics

Organizers: Ben Green (University of Cambridge), Bryna Kra (Northwestern University), Emmanuel Lesigne (University of Tours), Anthony Quas (University of Victoria), and Mate Wierdl (University of Memphis)

Updated on May 06, 2017 01:18 AM PDT
126. # Broader Connections: Ergodic Theory and Additive Combinatorics

Organizers: Ben Green (University of Cambridge), Bryna Kra (Northwestern University), Emmanuel Lesigne (University of Tours), Anthony Quas (University of Victoria), Mate Wierdl (University of Memphis)

Updated on May 06, 2017 01:18 AM PDT
127. # Homological Methods in Representation Theory

Organizers: David Benson, Daniel Nakano(chair), Raphael Rouquier

Updated on May 06, 2017 01:18 AM PDT
128. # Topics in Combinatorial Representation Theory

Organizers: Sergey Fomin, Bernard Leclerc, Vic Reiner (Chair), Monica Vazirani

Updated on May 06, 2017 01:18 AM PDT
129. # Lie Theory

Organizers: Alexander Kleshchev, Arun Ram, Richard Stanley (chair), Bhama Srinivasan

Updated on May 06, 2017 01:18 AM PDT
130. # Introductory Workshop on the Representation Theory of Finite Groups

Organizers: Jonathan Alperin(chair), Robert Boltje, Markus Linckelmann

Updated on May 06, 2017 01:18 AM PDT
131. # Introductory Workshop on Combinatorial Representation Theory

Organizers: Persi Diaconis, Arun Ram, Anne Schilling (Chair)

The goal of the Introductory Workshop is to survey current and recent developments in the field. The talks will focus on tableaux, reflection groups, finite groups, geometry and mathematical physics in the realm of Combinatorial Representation Theory.

Updated on May 06, 2017 01:18 AM PDT
132. # Connections for Women: Introduction to the Spring, 2008 programs

Organizers: Bhama Srinivasan and Monica Vazirani

Updated on May 06, 2017 01:18 AM PDT
133. # Topics in Geometric Group Theory

Organizers: Noel Brady, Mike Davis, Mark Feighn

Updated on May 06, 2017 01:18 AM PDT
134. # Introduction to Geometric Group Theory

Organizers: Mladen Bestvina, Jon McCammond, Michah Sageev, Karen Vogtmann

Updated on May 06, 2017 01:18 AM PDT
135. # Connections for Women: Geometric Group Theory

Organizers: Ruth Charney, Indira Chatterji, and Karen Vogtmann

Updated on May 06, 2017 01:18 AM PDT
136. # Introduction to Teichmuller Theory and Kleinian Groups

Organizers: Jeff Brock, Richard Canary, Howard Masur, Alan Reid, and Maryam Mirzakhani

Updated on May 06, 2017 01:18 AM PDT
137. # Connections for Women: Teichmuller Theory and Kleinian Groups

Organizers: Moon Duchin, Caroline Series

Updated on May 06, 2017 01:18 AM PDT
138. # Mathematical Issues in Stochastic Approaches for Multiscale Modeling

Organizers: Roberto Camassa (UNC - Chapel Hill), Jinqiao Duan (Illinois Institute of Technology - Chicago), Peter E. Kloeden (U of Frankfurt, Germany), Jonathan Mattingly (Duke U), Richard McLaughlin (UNC - Chapel Hill)

Complex physical, biological, geophysical and environmental systems display variability over a broad range of spatial and temporal scales. To make progress in understanding and modelling such systems, a combination of computational, analytical, and experimental techniques is required. There are issues that emerge prominently in each of these categories and in all these stochastic methods are playing a fundamental role.

Updated on May 06, 2017 01:18 AM PDT
139. # An Introduction to Multiscale Methods

Organizers: Greg Pavliotis and Andrew Stuart

Updated on May 06, 2017 01:18 AM PDT
140. # Stochastic Dynamical Systems and Control

Organizers: Jonathan Mattingly (Duke), Igor Mezic (UCSB-Chair), Andrew Stuart (Warwick)

Updated on May 06, 2017 01:18 AM PDT
141. # Recent Developments in Numerical Methods and Algorithms for Geometric Evolution Equations

Organizers: Charles Elliott, Xiaobing Feng, Michael Holst, Hongkai Zhao

Updated on May 06, 2017 01:18 AM PDT
142. # Geometric Evolution Equations

Organizers: Bennett Chow, Gerhard Huisken, Chuu-Lian Terng, and Gang Tian

Updated on May 06, 2017 01:18 AM PDT
143. # Introductory Workshop on Dynamical Systems with Emphasis on Extended Systems

Organizers: Chris Jones (U North Carolina), Edgar Knobloch (UC-Berkeley-Physics), Nancy Kopell (Boston U), Lai-Sang Young (chair, Courant)

Updated on May 06, 2017 01:18 AM PDT
144. # Connections for Women: Dynamical Systems

Organizers: Debra Lewis (UC Santa Cruz), Mary Pugh (U Toronto), and Mary Lou Zeeman (Bowdoin College)

Updated on May 06, 2017 01:18 AM PDT
145. # Analytic and Computational Aspects of Elliptic and Parabolic Equations

Organizers: Panagiota Daskalopoulos, Peter Li and Lei Ni

Updated on May 06, 2017 01:18 AM PDT
146. # Workshop on Topological Methods in Combinatorics, Computational Geometry, and the Study of Algorithms

Organizers: G. Carlsson, P. Diaconis, R. Jardine, and G. M. Ziegler

Updated on May 06, 2017 01:18 AM PDT
147. # Workshop on Application of Topology in Science and Engineering

Organizers: G. Carlsson, P. Diaconis, and S. Holmes

Updated on May 06, 2017 01:18 AM PDT
148. # Introductory Workshop on Geometric Flows and Function Theory in Real and Complex Geometry

Organizers: Bennett Chow, Peter Li and Gang Tian

Updated on May 06, 2017 01:18 AM PDT
149. # Connections for Women: Geometric Analysis and Nonlinear Partial Differential Equations

Organizers: Christine Guenther and Panagiota Daskalopoulos

Updated on May 06, 2017 01:18 AM PDT
150. # Introductory Workshop on Computational Application of Algebraic Topology

Organizers: G. Carlsson, P. Diaconis, G. M. Ziegler

Updated on May 06, 2017 01:18 AM PDT
151. # Connections for Women: Computational Applications of Algebraic Topology

Organizers: Susan Holmes

Updated on May 06, 2017 01:18 AM PDT
152. # New Developments in the Geometry and Physics of Gromov-Witten Theory

Organizers: Mina Aganagic, A. Klemm (Wisconsin), Jun Li (Stanford), R. Pandharipande (Princeton), Yongbin Ruan (Wisconsin)

Mirror duality has demonstrated the striking effectiveness of concepts of modern physics in enuerative geometry. It is of the same type as the simple radius inversion duality seen in string compactifications on S1. This type was discovered early because it shows up in every term in the string genus expansion and can be studied in 2d conformal field theory.

Updated on May 06, 2017 01:18 AM PDT
153. # Analytic Methods for Diophantine Equations

Organizers: Michael Bennett, Chantal David, William Duke, Andrew Granville (co-chair),Yuri Tschinkel (co-chair)

This workshop is jointly sponsored by MSRI and CRM and will be held at the Banff International Research Station in Banff, Canada.

Updated on May 06, 2017 01:18 AM PDT
154. # Cohomological Approaches to Rational Points

Organizers: Fedor Bogomolov, Antoine Chambert-Loir, Jean-Louis Colliot-Thélène (chair), A. Johan de Jong, Raman Parimala

Updated on May 06, 2017 01:18 AM PDT
155. # Generalized McKay Correspondences and Representation Theory

Organizers: Yongbin Ruan, H. Nakajima, G. Mason

Updated on May 06, 2017 01:18 AM PDT
156. # Introductory Workshop in Rational and Integral Points on Higher-Dimensional Varieties

Organizers: Jean-Louis Colliot-Thélène, Roger Heath-Brown, János Kollár, Bjorn Poonen (chair), Alice Silverberg, Yuri Tschinkel

NOTE: This workshop is to be held at the International House Berkeley on the UC Berkeley campus, at 2299 Piedmont Avenue.

Updated on May 06, 2017 01:18 AM PDT
157. # Stringy Topology in Morelia

Organizers: R. Cohen (Stanford), J. Morava (Johns Hopkins), A. Adem (UBC/UW--Madison), Y. Ruan (UW-Madison); Local Organizers: M. Aguilar (UNAM-Mexico City), D. Juan-Pineda (UNAM-Morelia), J.Seade (UNAM-Cuernavaca)

The purpose of this program is to introduce new topological concepts in physics to young research mathematicians from both South and North America. The lectures given during the first week will provide the necessary background; these will be supplemented, primarily during the second week, with lectures by leading researchers on recent progress. That week serves as the Opening Workshop for the MSRI program, Spring, 2006, in New Topological Structures in Physics.

Updated on May 06, 2017 01:18 AM PDT
158. # Geometric and Analytical Aspects of Nonlinear Dispersive Equations

Organizers: Nicolas Burq, Hans Lindblad, Igor Rodnianski, Christopher Sogge, Sijue Wu

NOTE: This workshop is to be held at the International House on the UC Berkeley campus, at 2299 Piedmont Avenue. On site registration for the workshop will be at the International House, starting at 8:30 AM Monday and ending at 3:30 PM Monday.

Updated on May 06, 2017 01:18 AM PDT
159. # Optimal Mass Transport and its Applications

Organizers: L. Craig Evans (U.C. Berkeley), Wilfrid Gangbo (Georgia Tech), Cristian Gutierrez (Temple University)

NOTE: This workshop is to be held at the International House on the UC Berkeley campus, at 2299 Piedmont Avenue, except for the Tuesday session, which will be held at the Lawrence Berkeley National Laboratory. On site registration for the workshop will start at 8:30 AM Monday and end at 3:30 PM Monday.

Updated on May 06, 2017 01:18 AM PDT
160. # Minicourse on Stochastic ODE and connections with nonlinear PDEs

Organizers: L. C. Evans

Updated on May 06, 2017 01:18 AM PDT
161. # Introductory Workshop in Nonlinear Dispersive Equations

Organizers: James Colliander (Toronto), Patrick Gerard (Orsay), Herbert Koch (Dortmund), Natasha Pavlovic (Princeton), Daniel Tataru (Berkeley)

Updated on May 06, 2017 01:18 AM PDT
162. # Models of Real-World Random Networks

Organizers: David Aldous, Claire Kenyon, Jon Kleinberg, Michael Mitzenmacher, Christos Papadimitriou, Prabhakar Raghavan

This workshop seeks to bring together (a) mathematicians studying the math
properties of particular models, and (b) experts in various network
fields who can survey the successes and challenges of modeling within
their field.

Updated on May 06, 2017 01:18 AM PDT
163. # Emphasis Week on Perceptual Organization

Organizers: Jitendra Malik, Jean-Michel Morel, Song Chun Zhu

Updated on May 06, 2017 01:18 AM PDT
164. # Visual Recognition

Organizers: Don Geman, Jitendra Malik, Pietro Perona, Cordelia Schmid

Updated on May 06, 2017 01:18 AM PDT
165. # PREP Workshop: The Mathematics of Images

Organizers: Kathryn Leonard , David Mumford

This workshop is aimed at faculty who wish to learn about this exciting field and would like to enrich a variety of undergraduate courses with new examples and applications. The workshop is being held in collaboration with the Mathematical Association of America as part of the MAA's Professional Enhancement Program (PREP). See the PREP website for information about registration and participant support.

Updated on May 06, 2017 01:18 AM PDT
166. # Phase Transitions in Computation and Reconstruction

Organizers: Dimitris Achlioptas, Elchanan Mossel, Yuval Peres

The topics of this workshop include phase transitions in connection to
random graphs, boolean functions, satisfiability problems, coding,
reconstruction on trees and spinglasses.

Special focus will be given to the study of the interplay
between the replica method, local weak convergence and algorithmic aspects of
reconstruction.

Updated on May 06, 2017 01:18 AM PDT
167. # Emphasis Week on Learning and Inference in Low and Mid Level Vision

Organizers: Andrew Blake and Yair Weiss

Updated on May 06, 2017 01:18 AM PDT
168. # Emphasis Week on Neurobiological Vision

Organizers: David Donoho and Bruno Olshausen

Updated on May 06, 2017 01:18 AM PDT
169. # Markov Chains in Algorithms and Statistical Physics

Organizers: Fabio Martinelli, Alistair Sinclair, Eric Vigoda

Recent years have seen the rapid development of techniques for the analysis of MCMC algorithms, with applications in all the above areas. These techniques draw from a wide range of mathematical disciplines, including combinatorics, discrete probability, functional analysis, geometry and statistical physics, and there has been significant cross-fertilization between them. This workshop aims to bring together practitioners from all these domains with the aim of furthering this interplay of ideas.

Updated on May 06, 2017 01:18 AM PDT
170. # Introductory Workshop in Mathematical, Computational and Statistical Aspects of Image Analysis

Organizers: David Donoho, Olivier Faugeras, David B Mumford

Updated on May 06, 2017 01:18 AM PDT
171. # MSRI Workshop for Women in Mathematics: Introduction to Image Analysis

Organizers: Ruzena Bajcsy, Jana Kosecka, Kathryn Leonard

Updated on May 06, 2017 01:18 AM PDT
172. # MSRI Program on Probability, Algorithms and Statistical Physics, Spring 2005 --- OPENING DAY, Thursday 13 January, 2005

Organizers: Alistair Sinclair

MSRI Program on Probability, Algorithms and Statistical Physics, Spring 2005 --- OPENING DAY, Thursday 13 January, 2005

Updated on May 06, 2017 01:18 AM PDT
173. # Combinatorial Aspects of Hyperplane Arrangements

Organizers: Eva Maria Feichtner, Philip Hanlon, Peter Orlik, Alexander Varchenko

This workshop will be part of MSRI's Special Semester in Hyperplane Arrangements and Applications.

Updated on May 06, 2017 01:18 AM PDT
174. # Topology of Arrangements and Applications

Organizers: Daniel C. Cohen, Michael Falk (chair), Peter Orlik, Inna Scherbak, Alexandru Suciu, Hiroaki Terao, Sergey Yuzvinsky

This workshop will focus on the following topics: Characteristic varieties and resonance varieties, homotopy types of arrangements, moduli of arrangements, Gauss-Manin connections, KZ and qKZ equations, elliptic hypergeometric functions, and hypergeometric functions associated with curves of arbitrary genus.

Updated on May 06, 2017 01:18 AM PDT
175. # Introductory Workshop in Hyperplane Arrangements and Applications

Organizers: Michael Falk, Peter Orlik (Chair), Alexander Suciu, Hiroaki Terao, and SergeyYuzvinsky

Updated on May 06, 2017 01:18 AM PDT
176. # Algorithmic, Combinatorial and Applicable Real Algebraic Geometry

Organizers: Lalo Gonzalez-Vega, Victoria Powers, and Frank Sottile

Updated on May 06, 2017 01:17 AM PDT
177. # Symplectic Geometry and Mathematical Physics

Organizers: Denis Auroux, Dan Freed, Helmut Hofer, Francis Kirwan, and Gang Tian

Updated on May 06, 2017 01:17 AM PDT
178. # Topology and Geometry of Real Algebraic Varieties

Organizers: Viatcheslav Kharlamov, Boris Shapiro, and Oleg Viro

Updated on May 06, 2017 01:17 AM PDT
179. # Introductory Workshop in Topological Aspects of Real Algebraic Geometry

Organizers: Selman Akbulut, Grisha Mikhalkin, Victoria Powers, Boris Shapiro, Frank Sottile, and Oleg Viro

Updated on Jan 18, 2019 03:33 PM PST
180. # Geometric Analysis

Organizers: Ben Chow, Peter Li, Richard Schoen (chair), and Richard Wentworth

Updated on May 06, 2017 01:17 AM PDT
181. # Combinatorial and Discrete Geometry

Organizers: Jesús A. De Loera, Jacob E. Goodman, János Pach and Günter M. Ziegler

Updated on May 06, 2017 01:17 AM PDT
182. # Mathematical Foundations of Geometric Algorithms

Organizers: Pankaj Agarwal, Herbert Edelsbrunner, Micha Sharir, and Emo Welzl

Updated on May 06, 2017 01:17 AM PDT
183. # Introductory Workshop in Discrete and Computational Geometry

Organizers: Jesús A. De Loera, Herbert Edelsbrunner, Jacob E. Goodman, János Pach, Micha Sharir, Emo Welzl, and Günter M. Ziegler

Updated on May 06, 2017 01:17 AM PDT
184. # Von Neumann Symposium on Complex Geometry, Calibrations, and Special Holonomy

Organizers: Robert Bryant (Co-chair), Simon Donaldson, H. Blaine Lawson, Richard Schoen, and Gang Tian (Co-chair)

Updated on May 06, 2017 01:17 AM PDT
185. # Preparatory Workshop for the 2003 AMS/MSRI von Neumann Symposium

Organizers: Robert Bryant

LOCATION: The Banff Conference Centre, Banff, Canada

Updated on May 06, 2017 01:17 AM PDT
186. # Mathematical Semi-Classical Analysis

Organizers: J. Sjostrand, S. Zelditch, and M. Zworski

Updated on May 06, 2017 01:17 AM PDT
187. # Semi-classical Methods in Physics and Chemistry

Organizers: R. Littlejohn, W.H. Miller, and M. Zworski

Updated on May 06, 2017 01:17 AM PDT
188. # Commutative Algebra and Geometry (Banff Int'l Research Station Workshop)

Organizers: Mark Green, Juergen Herzog, and Bernd Sturmfels (chair)

To be held at the Banff International Research Station in Banff, Alberta, Canada.

Updated on May 06, 2017 01:17 AM PDT
189. # Computational Commutative Algebra

Organizers: Serkan Hosten, Craig Huneke, Bernd Sturmfels (chair), and Irena Swanson

Updated on May 06, 2017 01:17 AM PDT
190. # Commutative Algebra: Interactions with Homological Algebra and Representation Theory

Organizers: Luchezar Avramov (chair), Ragnar Buchweitz, and John Greenlees

Updated on May 06, 2017 01:17 AM PDT
191. # Quantum Information Processing

Organizers: Steering Committee: Dorit Aharonov, Charles Bennett, Harry Buhrman, Isaac Chuang, Mike Mosca, Umesh Vazirani, and John Watrous

Updated on May 06, 2017 01:17 AM PDT
192. # Commutative Algebra: Local and Birational Theory

Organizers: Craig Huneke (chair), Paul Roberts, Karen Smith, and Bernd Ulrich.

Updated on May 06, 2017 01:17 AM PDT
193. # Quantum Information and Cryptography

Organizers: Richard Jozsa and Mary Beth Ruskai

Updated on May 06, 2017 01:17 AM PDT
194. # Models of Quantum Computing

Organizers: David Di Vincenzo (Watson-IBM), and Peter Shor (AT&T), Chair

Presented jointly with IPAM, and held in Los Angeles. See IPAM website for details.

Updated on May 06, 2017 01:17 AM PDT
195. # Quantum Algorithms and Complexity

Organizers: Richard Cleve, Peter Shor, and Umesh Vazirani

To be held at the Banff Conference Centre in Banff (Alberta), Canada

Updated on May 06, 2017 01:17 AM PDT
196. # Introductory Workshop in Commutative Algebra

Organizers: Luchezar Avramov, Mark Green, Craig Huneke, Karen E. Smith and Bernd Sturmfels

Updated on May 06, 2017 01:17 AM PDT
197. # Introductory Workshop in Quantum Computation

Organizers: Dorit Aharonov, Leonard Schulman, and Umesh Vazirani

Updated on May 06, 2017 01:17 AM PDT
198. # Conformal Field Theory and Supersymmetry

Organizers: G. Felder, D. Freed, E. Frenkel, V. Kac, T. Miwa, I. Penkov, V. Serganova, I. Singer and G. Zuckerman

The first week will focus on Infinite-dimensional Algebras, Conformal Field Theory and Integrable Systems, and the second week would be devoted to Supersymmetry in Mathematics and Physics.

Updated on May 06, 2017 01:17 AM PDT
199. # Non-Abelian Hodge Theory

Organizers: S. Bradlow, O. Garcia-Prada, M. Kapranov, L. Katzarkov, M. Kontsevich, D. Orlov, T. Pantev, C. Simpson, and B. Toen

Updated on May 06, 2017 01:17 AM PDT
200. # Geometric Aspects of the Langlands Program

Organizers: E. Frenkel, V. Ginzburg, G. Laumon and K. Vilonen

Discussion of the important developments in the geometric Langlands correspondence in the last few years

Updated on May 06, 2017 01:17 AM PDT
201. # Intersection Theory on Stacks

Organizers: K. Behrend, W. Fulton, L. Katzarkov, M. Kontsevich, Y. Manin, R. Pandharipande, T. Pantev, B. Toen, and A. Vistoli

Updated on May 06, 2017 01:17 AM PDT
202. # Introductory Workshop on Algebraic Stacks, Intersection Theory, and Non-Abelian Hodge Theory

Organizers: William Fulton, Ludmil Katzarkov, and Tony Pantev

The field of algebraic stacks has gathered a huge momentum and is bound to become one of the main tools of the working mathematician.

Updated on May 06, 2017 01:17 AM PDT
203. # Inverse problems and Applications

Organizers: Joyce McLaughlin, Adrian Nachman, William Symes, Gunther Uhlmann (chair) and Michael Vogelius

The purpose of the workshop will be to bring together people working on different aspects of inverse problems, to appraise the current status of development of the field, and to encourage interaction between mathematicians and scientists and engineers working directly with the applications.

Updated on May 06, 2017 01:17 AM PDT
204. # Pan-American Advanced Studies Institute (PASI) on Inverse Problems

Organizers: Gunther Uhlmann (chair), David Haynor (Department of Radiology, University of Washington), Gary Margrave (Department of Geophysics, University of Calgary) and Ricardo Weder (Universidad Nacional Autonoma de Mexico)

Updated on May 06, 2017 01:17 AM PDT
205. # Integral Geometry in Representation Theory

Organizers: Leticia Barchini, Oklahoma State University, Roger Zierau, Oklahoma State University.

This workshop will concentrate on several topics in representation theory and geometric analysis of homogeneous spaces for which techniques in integral geometry play a key role.

Updated on May 06, 2017 01:17 AM PDT
206. # Introductory Workshop in Inverse Problems and Integral Geometry

Organizers: Liliana Borcea, David Colton, Michael Eastwood, Simon Gindikin, Alexander Goncharov and Gunther Uhlmann

Updated on May 06, 2017 01:17 AM PDT
207. # Geometric Scattering Theory and Elliptic Theory on Noncompact and Singular Spaces

Organizers: Tanya Christiansen, Charles Epstein, Rafe Mazzeo, Richard Melrose

This workshop will focus on problems of a scattering theoretic nature for geometric operators on manifolds with asymptotically regular
geometries, and also on spectral theory and related questions of invertibility of such operators on singular spaces. The emphasis will be on the consideration of new problems and the dissemination of new techniques.

Updated on May 06, 2017 01:17 AM PDT
208. # 29th Canadian Symposium on Operator Algebras

Organizers: Man-Duen Choi, Edward G. Effros, George A. Elliott (co-chairman), Vaughan F. R. Jones, Henri Moscovici, Ian F. Putnam (co-chairman), Marc A. Rieffel and Dan-Virgil Voiculescu

This meeting will be joint for the first two days with the MSRI workshop on Quantization and Non-commutative Geometry, and during the three-day period April 29 - May 1 will function as a closing conference for the 2000-01 MSRI program on Operator Algebras.

Updated on May 06, 2017 01:17 AM PDT
209. # Quantization and Non-commutative geometry

Organizers: A. Connes, J. Cuntz, N. Higson, G.G. Kasparov, N.P. Landsman, H. Moscovici (chair, Non-commutative Geometry), M.A. Rieffel (chair, Quantization), G. Skandalis, A. Weinstein, M. Wodzicki, S.L. Woronowicz

These two topics have been scheduled in a joint workshop because the confluence of their research is likely to influence future advances in both fields.

Updated on May 06, 2017 01:17 AM PDT
210. # Geometric Aspects of Spectral Theory

Organizers: Jean-Michel Bismut, Tom Branson, S.-Y. Alice Chang and Kate Okikiolu

This workshop will study the spectral theory of geometric operators, including: spectral invariants, applications in conformal geometry, classification of 4-manifolds, index theory and scattering theory.

Updated on May 06, 2017 01:17 AM PDT
211. # Free Probability and Non-commutative Banach Spaces

Organizers: P. Biane, D. Shlyakhtenko, R. Speicher, D. Voiculescu, E. Effros, E. Kirchberg, V. Paulsen, G. Pisier, Z-J. Ruan and A. Sinclair

The Free Probability section of the workshop will cover several aspects of the subject: applications to von Neumann algebras and C*-algebras of free product type, connections with random matrix theory, free stochastic processes and free stochastic integration, combinatorial approach via noncrossing partitions, free entropy.

The Non-commutative Banach Space section will cover the central concepts of the recently developed theory of operator spaces such as: exactness, local reflexivity and injectivity with applications to C* tensor products, operator algebras and operator modules. The non-commutative Lp-spaces, which play an important role in this theory, provide many points of contact with free probability.

Updated on May 06, 2017 01:17 AM PDT
212. # Arithmetic Geometry

Organizers: Noam Elkies, William McCallum, Jean-François Mestre, Bjorn Poonen (chair) and René Schoof

This workshop will focus on the development of explicit and computational methods in arithmetic
geometry, as well as the complexity analysis of existing algorithms.

Updated on May 06, 2017 01:17 AM PDT
213. # Subfactors and Algebraic Aspects of Quantum Field Theory

Organizers: D. Bisch, V.F.R. Jones, Y. Kawahigashi, S. Popa, R. Borcherds, S. Doplicher, R. Lawrence, P. Goddard and A. Wassermann

These two areas have had a strong interaction in the last two decades, leading to exciting and closely related mathematics.

Updated on May 06, 2017 01:17 AM PDT
214. # Number-theoretic cryptography workshop

Organizers: Eric Bach, Dan Boneh, Cynthia Dwork (chair), Shafi Goldwasser, Kevin McCurley and Carl Pomerance

This workshop will focus on number-theoretic aspects of cryptography, and will be cross-cultural, where the the cultures in question are "mathematics" and "computer science."

Updated on May 06, 2017 01:17 AM PDT
215. # Simple C*-algebras and Non-commutative Dynamical Systems

Organizers: W. Arveson,B. Blackadar,E. Effros,G. Elliott (chair), D. Handelman, E.Kirchberg, I. Putnam,M. Rordam,E. Stormer,M. Takesaki

As part of the full-year 2000-2001 program on Operator Algebras, MSRI will host a one-week NATO
ADVANCED RESEARCH WORKSHOP on Simple C*-algebras and Non-commutative Dynamical
Systems, September 25-29, 2000.

Updated on May 06, 2017 01:17 AM PDT
216. # Clay Mathematics Institute Introductory Workshop in Operator Algebras

Organizers: D. Bisch (chair), E.G. Effros, V.F.R. Jones and D.V. Voiculescu

This workshop introduces graduate students and other scientists to the exciting area of Operator
Algebras.

Updated on May 06, 2017 01:17 AM PDT
217. # Clay Mathematics Institute Introductory Workshop in Algorithmic Number Theory

Organizers: David Bailey, Joe Buhler (chair), Cynthia Dwork, Hendrik Lenstra Jr., Andrew Odlyzko, Bjorn Poonen, William Velez and Noriko Yui

This workshop will have lecture series covering the basic areas of algorithmic number theory,
aimed at graduate students and mathematicians without extensive experience in the field.

Updated on May 06, 2017 01:17 AM PDT
218. # Interactions between Algebraic Geometry and Noncommutative Algebra

Organizers: M. Artin (MIT), K. R. Goodearl (UC Santa Barbara) and M. Van den Bergh (Limburgs)

Updated on May 06, 2017 01:17 AM PDT
219. # Combinatorial Algebra

Organizers: G. Benkart (Univ.of Wisconsin), A. Shalev (Hebrew Univ.), E. Zelmanov (Yale Univ.)

Updated on May 06, 2017 01:17 AM PDT
220. # Galois Actions and Geometry

Organizers: Pierre Debes, Hiroaki Nakamura, Akio Tamagawa

Updated on May 06, 2017 01:17 AM PDT
221. # Constructive Galois Theory

Organizers: Moshe Jarden (Tel Aviv), Gunter Malle (Kassel), Helmut Voelklein (U. of Florida)

Updated on May 06, 2017 01:17 AM PDT
222. # 1999 Von Neumann Conference on Arithmetic Fundamental Groups and Noncommutative Algebra

Organizers: Michael D. Fried, David Harbater and Lance W. Small

For more information about this conference, please visit the original web page at
http://msri.org/activities/programs/9900/noncomm/vonneumann/

Updated on May 06, 2017 01:17 AM PDT
223. # Quantum Chaos, GUE Conjecture for Zeros of Zeta Functions, Combinatorics, and All That

Organizers: Pavel Bleher, D.A. Hejhal, Andrew Odlyzko, and Peter Sarnak

Please see the workshop web page at http://www.msri.org/activities/programs/9899/random/qc/ for more information.

Updated on Jul 07, 2017 08:34 AM PDT
224. # Random Matrices, Statistical Mechanics, and Integrable Systems

Organizers: B. Dubrovin, A. Its, M. Mehta (Chair), and N. Reshetikhin

Updated on May 06, 2017 01:17 AM PDT
225. # Introductory Workshop: Random Matrix Models and their Applications

Organizers: E. Basor (Chair), P. Bleher, A. Its, and C. Tracy

Updated on May 06, 2017 01:17 AM PDT
226. # Complexity of Continuous and Algebraic Mathematics

Organizers: Felipe Cucker and Jim Renegar

Updated on May 06, 2017 01:17 AM PDT
227. # Symbolic Computation in Geometry & Analysis

Organizers: Eberhard Becker, Lakshman Yagati, Michael Singer, and Peter Stiller

Updated on May 06, 2017 01:17 AM PDT
228. # Parallel Symbolic Computing Workshop

Organizers: David H Bailey, Daniel R Grayson, Alyson Reeves and Nobuki Takayama

Updated on Jun 30, 2017 01:52 PM PDT
229. # Solving Systems of Equations

Organizers: Jean-Pierre Dedieu, Marie-Francoise Roy, Bernd Sturmfels, and Mike Shub

Updated on May 06, 2017 01:17 AM PDT
230. # Introductory Workshop on Foundations of Computational Mathematics and Symbolic Computation in Geometry and Analysis

Organizers: Arieh Iserles, Marie-Francoise Roy, Teresa Krick, Michael Singer, Andrew Stuart, and Bernd Sturmfels

Updated on May 06, 2017 01:17 AM PDT
231. # Model Theory, Algebra and Arithmetic

Updated on May 06, 2017 01:17 AM PDT
232. # Introductory Workshop on Model Theory of Fields

Organizers: A. Pillay (Chair), C. Steinhorn, D. Haskell

Updated on May 06, 2017 01:17 AM PDT
233. # Infinite dimensional stochastic analysis (includes Malliavin Calculus, Dirichlet forms)

Organizers: P. Fitzsimmons, D. Nualart

Updated on May 06, 2017 01:17 AM PDT
234. # Stochastic Partial Differential Equations

Organizers: C. Mueller, E. Pardoux, B. Rozovskii

Updated on May 06, 2017 01:17 AM PDT
235. # Introductory Workshop on Harmonic Analysis

Organizers: M. Christ, D. Jerison, C. Kenig, J. Pipher, and E. Stein

Updated on May 06, 2017 01:17 AM PDT
236. # Harmonic Analysis and PDE

Organizers: C. Kenig, F. Ricci, E. Stein

Updated on May 06, 2017 01:17 AM PDT
237. # Representation Theory and Symmetric Functions

Organizers: Curtis Greene (Chair), Sergey Fomin, Phil Hanlon, and Sheila Sundaram

Updated on May 06, 2017 01:17 AM PDT
238. # Geometric stochastic analysis and fine properties of stochastic processes

Organizers: D. Elworthy, J. F. Le Gall, J. Rosen

Updated on May 06, 2017 01:17 AM PDT
239. # Geometric Combinatorics

Organizers: Margaret Bayer, Louis Billera (Chair), Paul Edelman and Gunter M. Ziegler

Updated on May 06, 2017 01:17 AM PDT
240. # Combinatorial Problems Arising in Knots and 3-manifolds

Organizers: Joan Birman (Chair), Xiao-Song Lin, Paul Melvin, and Andrei Zelevinsky

Updated on May 06, 2017 01:17 AM PDT
241. # Four Dimensional Manifolds

Organizers: Robion Kirby (UC Berkeley), Peter Kronheimer (Harvard), Dusa McDuff (SUNY at Stony Brook), Ronald Stern (Chair, UC Irvine), and Gang Tian (MIT)

Updated on May 06, 2017 01:17 AM PDT
242. # Extremal Combinatorics

Organizers: Anders Bjorner (Chair), Zoltan Furedi, and Jeffry Kahn

Updated on May 06, 2017 01:17 AM PDT
243. # Enumeration and Partially Ordered Sets

Organizers: Lynne Butler, Ira Gessel, Rodica Simion (chair), and Michelle Wachs

Updated on May 06, 2017 01:17 AM PDT
244. # Knots and 3-manifolds

Organizers: Andrew Casson (Chair), Allen Hatcher, John Luecke, Walter Neumann, and Abigail Thompson

Updated on May 06, 2017 01:17 AM PDT
245. # Joint Introductory Workshop on Combinatorics and Low-dimensional Topology

Updated on May 06, 2017 01:17 AM PDT
246. # Sharp Inequalities in Harmonic Analysis and Convex Geometry

Organizers: E. Carlen and E. Lutwak.

Updated on May 06, 2017 01:17 AM PDT
247. # Algebraic and Differential Geometric Methods in Complex Analysis

Organizers: Eric Bedford, Daniel Burns,Janos Kollar, Robert Lazarsfeld, Michael Schneider (Chair), Domingo Toledo, and Scott Wolpert

Updated on May 06, 2017 01:17 AM PDT
248. # Random Methods in Convex Geometry

Organizers: L. Lovasz, N. Tomczak-Jaegermann, and A. Pajor

Updated on May 06, 2017 01:17 AM PDT
249. # Introductory Workshop in Convex Geometry and Geometric Functional Analysis

Organizers: K.M. Ball.

Updated on May 06, 2017 01:17 AM PDT