# Mathematical Sciences Research Institute

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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 over 1 year ago
Parent Program: Model Theory, Arithmetic Geometry and Number Theory 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 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 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 MSRI123. Our preferred rate is $129 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.

## Show Visa/Immigration

Schedule
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)