Logo

Mathematical Sciences Research Institute

Home » Reimagining the Foundations of Algebraic Topology

Workshop

Reimagining the Foundations of Algebraic Topology April 07, 2014 - April 11, 2014
Registration Deadline: April 10, 2014 about 5 years ago
To apply for Funding you must register by: January 07, 2014 over 5 years ago
Parent Program:
Location: Mathematical Sciences Research Institute, Berkeley CA
Organizers Vigleik Angeltveit (Australian National University), Mark Behrens (Massachusetts Institute of Technology), Julie Bergner (University of Virginia), LEAD Andrew Blumberg (University of Texas, Austin)
Speaker(s)

Show List of Speakers

Description
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.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Funding & Logistics Show All Collapse

Show Funding

To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

Show Lodging

MSRI does not hire an outside company to make hotel reservations for our workshop participants, or share the names and email addresses of our participants with an outside party. If you are contacted by a business that claims to represent MSRI and offers to book a hotel room for you, it is likely a scam. Please do not accept their services.

MSRI has preferred rates at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Institute discount. To book online visit this page (the MSRI rate will automatically be applied).

MSRI has preferred rates at the Graduate Berkeley, depending on room availability. Reservations may be made by calling 510-845-8981. When making reservations, guests must request the MSRI preferred rate. Enter in the Promo Code MSRI123 (this code is not case sensitive).

MSRI has preferred rates at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select "Affiliated with the Space Sciences Lab, Lawrence Hall of Science or MSRI." When prompted for your UC Contact/Host, please list Chris Marshall (coord@msri.org).

MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).

Additional lodging options may be found on our short term housing page.

Show Directions to Venue

Show Visa/Immigration

Schedule, Notes/Handouts & Videos
Show Schedule, Notes/Handouts & Videos
Show All Collapse
Apr 07, 2014
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Algebraic geometry of topological field theories 
David Ben-Zvi (University of Texas, Austin)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Poincaré/Koszul duality
David Ayala (Montana State University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Poincare'/Koszul duality and formal moduli
John Francis (Northwestern University)
03:00 PM - 03:30 PM
  Tea
04:10 PM - 05:00 PM
  Sullivan's conjecture and applications to arithmetic
Kirsten Wickelgren (Georgia Institute of Technology)
Apr 08, 2014
Tuesday
09:30 AM - 10:30 AM
  The formal theory of adjunctions, monads, algebras, and descent
Emily Riehl (Johns Hopkins University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  co-Segal algebras and Deligne’s conjecture
Hugo Bacard (University of Western Ontario)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  What is an elementary higher topos?
Andre Joyal (Université du Québec à Montréal)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Modeling stable 2-types
Angelica Osorno (Reed College)
04:30 PM - 06:20 PM
  Reception
Apr 09, 2014
Wednesday
09:30 AM - 10:30 AM
  Aspects of differential cohomology
Thomas Nikolaus (Westfälische Wilhelms-Universität Münster)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  The unicity of the homotopy theory of higher categories.
Christopher Schommer-Pries (University of Notre Dame)
Apr 10, 2014
Thursday
09:30 AM - 10:30 AM
  Redshift and higher categories
Clark Barwick (University of Edinburgh)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Derived Equivariant Algebraic Geometry
Michael Hill (University of California, Los Angeles)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Duality, algebro-homotopically
Vesna Stojanoska (University of Illinois at Urbana-Champaign)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Calculations in multiplicative stable homotopy theory at height 2
Charles Rezk (University of Illinois at Urbana-Champaign)
Apr 11, 2014
Friday
09:30 AM - 10:30 AM
  En Genera
Michael Mandell (Indiana University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Motives versus noncommutative motives
Goncalo Tabuada (Massachusetts Institute of Technology)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Thom spectra and twisted umkehr maps
David Gepner (University of Melbourne)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  A K(Z,4) in nature
Andre Henriques (University of Oxford)