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Workshop

Introductory Workshop: Model Theory, Arithmetic Geometry and Number Theory February 03, 2014 - February 07, 2014
To apply for Funding you must register by: November 15, 2013 10 months ago
Parent Program: Model Theory, Arithmetic Geometry and Number Theory
Location: Mathematical Sciences Research Institute, Berkeley CA
Organizers Elisabeth Bouscaren (Centre National de la Recherche Scientifique (CNRS)), Antoine Chambert-Loir (Université Paris-Sud (Orsay)), LEAD Rahim Moosa (University of Waterloo)
Speaker(s)

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Description

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 multiplicative 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.

Bibliography (PDF)


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 Rose Garden Inn, depending on room availability. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show the MSRI rate on all room types available.

MSRI has preferred rates at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link and enter the promo/corporate code 123MSRI. Our preferred rate is $139 per night for a Deluxe Queen/King, based on availability.

MSRI has preferred rates of $149 - $189 plus tax at the Hotel Shattuck Plaza, depending on room availability. Guests can either call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Inst. discount; or go to www.hotelshattuckplaza.com and click Book Now. Once on the reservation page, click “Promo/Corporate Code“ and input the code: msri.

MSRI has preferred rates of $110 - $140 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 “I am an individual traveler affiliated with MSRI”.

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

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Schedule
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Feb 03, 2014
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Specialities for non-specialists
Antoine Chambert-Loir (Université Paris-Sud (Orsay))
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  An Introduction to Stability-Theoretic Techniques
Pierre Simon (Centre National de la Recherche Scientifique (CNRS))
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  A model-theorist's view of algebraically closed valued fields
Deirdre Haskell (McMaster University)
03:00 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  MSRI/Evans Lecture: Around Approximate Subgroups (Evans Hall, UC Berkeley)
Ehud Hrushovski (Hebrew University)
Feb 04, 2014
Tuesday
09:30 AM - 10:30 AM
  Specialities for non-specialists
Antoine Chambert-Loir (Université Paris-Sud (Orsay))
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  An Introduction to Stability-Theoretic Techniques
Pierre Simon (Centre National de la Recherche Scientifique (CNRS))
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 02:30 PM
  Some applications of Hrushovski's theorem about the Frobenius map to algebraic dynamics
Ekaterina Amerik ( Higher School of Economics)
02:30 PM - 03:30 PM
  A Model Theoretic Approach to Berkovich Spaces
Martin Hils (Université de Paris VII (Denis Diderot))
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Model theory and multiplicative combinatorics
Lou van den Dries (University of Illinois at Urbana-Champaign)
05:00 PM - 07:00 PM
  Reception
Feb 05, 2014
Wednesday
09:30 AM - 10:30 AM
  Specialities for non-specialists
Antoine Chambert-Loir (Université Paris-Sud (Orsay))
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  An Introduction to Stability-Theoretic Techniques
Pierre Simon (Centre National de la Recherche Scientifique (CNRS))
12:00 PM - 01:00 PM
  The Pila-Wilkie Theorem and variations
Margaret Thomas (Universität Konstanz)
Feb 06, 2014
Thursday
09:30 AM - 10:30 AM
  A Model Theoretic Approach to Berkovich Spaces
Martin Hils (Université de Paris VII (Denis Diderot))
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Stability theory and Diophantine geometry
Anand Pillay (University of Notre Dame)
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 02:30 PM
  O-Minimal Ingredients in Proofs of Arithmetical Conjectures Such as Manin-Mumford and Andre-Oort
Ya'acov Peterzil (University of Haifa)
02:30 PM - 03:30 PM
  Model theory and multiplicative combinatorics
Lou van den Dries (University of Illinois at Urbana-Champaign)
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  A regularity lemma for definable sets over finite fields, and expanding polynomials
Terence Tao (University of California, Los Angeles)
Feb 07, 2014
Friday
09:30 AM - 10:30 AM
  A Model Theoretic Approach to Berkovich Spaces
Martin Hils (Université de Paris VII (Denis Diderot))
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Stability theory and Diophantine geometry
Anand Pillay (University of Notre Dame)
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 02:30 PM
  O-Minimal Ingredients in Proofs of Arithmetical Conjectures Such as Manin-Mumford and Andre-Oort
Ya'acov Peterzil (University of Haifa)
02:30 PM - 03:30 PM
  Algebraic Dynamics and the Model Theory of Difference Fields
alice medvedev (City College, CUNY)
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Model theory and multiplicative combinatorics
Lou van den Dries (University of Illinois at Urbana-Champaign)