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Workshop

Model Theory in Geometry and Arithmetic May 12, 2014 - May 16, 2014
Registration Deadline: May 16, 2014 about 5 years ago
To apply for Funding you must register by: February 12, 2014 over 5 years ago
Parent Program:
Location: Mathematical Sciences Research Institute, Berkeley CA
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)
Speaker(s)

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Description
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. Bibliography (PDF)
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
Funding & Logistics Show All Collapse

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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.

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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).

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

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Schedule, Notes/Handouts & Videos
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May 12, 2014
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Hrushovski-Kazhdan's motivic Poisson formula and motivic height zeta functions
Antoine Chambert-Loir (Université de Paris XI)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Towards a theory of residue field domination for convexly valued ordered fields
Deirdre Haskell (McMaster University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  An application of difference fields to algebraic dynamics.
Zoé Chatzidakis (Centre National de la Recherche Scientifique (CNRS))
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Transferring imaginaries: from ACVF to Qp (joint work with E. Hrushovski and B. Martin)
Silvain Rideau (École Normale Supérieure)
May 13, 2014
Tuesday
09:30 AM - 10:30 AM
  Non-archimedean Yomdin-Gromov parametrizations and points of bounded height
François Loeser (Université de Paris VI (Pierre et Marie Curie))
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Applications of motivic integration to harmonic analysis
Julia Gordon (University of British Columbia)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Growth in groups: ideas and perspectives
Harald Helfgott (Georg-August-Universität zu Göttingen)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Definable topological dynamics
Anand Pillay (University of Notre Dame)
04:30 PM - 06:20 PM
  Reception
May 14, 2014
Wednesday
09:30 AM - 10:30 AM
  An Ax-Schanuel theorem for the modular curve and the j-function
Jacob Tsimerman (University of Toronto)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Uniform bounds for derivatives of definable functions with a diophantine application
Alex Wilkie (University of Manchester)
May 15, 2014
Thursday
09:30 AM - 10:30 AM
  An application of the model theory of differential fields to Poisson algebras
Rahim Moosa (University of Waterloo)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  On the semantics of non-commutative geometry and exotic summation formulas.
Boris Zilber (University of Oxford)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  To $p$ or not to $p$: Galois' first glimpse of Hensel on wild grounds
Jochen Koenigsmann (University of Oxford)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Generalizations of Hilbert's Tenth Problem
Kirsten Eisentraeger (Pennsylvania State University)
May 16, 2014
Friday
09:30 AM - 10:30 AM
  Complexity classes of simple theories
Maryanthe Malliaris (University of Chicago)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Definably amenable NIP groups
Pierre Simon (University of California, Berkeley)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  On the group of purely inseparable points of an abelian variety defined over a function field of positive characteristic
Damian Rössler (Université de Toulouse III (Paul Sabatier))
03:00 PM - 03:30 PM
  Tea