# Institute for Advanced Study

## School of Mathematics

# Agenda

Mini conference on Arithmetic Combinatorics

December 10-12, 2007

Organizers:

Jean Bourgain, Institute for Advanced Study

Peter Sarnak, Institute for Advanced Study

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All talks will be held in the Simonyi Hall Seminar Room

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### Monday, December 10, 2007

11:00 am - 11:50 Avi Wigderson (IAS), Extractors, Ramsey Graphs and Arithmetic Combinatorics

12:00 pm - 12:30 Kevin Costello (IAS), Quadratic Littlewood-Offord and rank of random symetric matrices

12:30 pm - 2:00 LUNCH - IAS Dining Hall

2:00 pm - 2:50 Bryna Kra (Northwestern), Nilsequences in ergodic theory and additive combinatorics

3:00 pm - 3:30 H. Nguyen (Rutgers), On Erdos square sum free problem

3:30 pm - 4:00 TEA - IAS Fuld Hall Common Room

4:00 pm - 4:50 Izabella Laba (UBC), Arithmetic progressions in Salem sets

### Tuesday, December 11, 2007

11:00 am - 11:50 Endre Szemeredi (Rutgers/IAS), When does A+A become a square?

12:00 pm - 12:30 Benjamin Sudakov (UCLA/IAS), Discrete Kakeya-type problems and small bases

12:30 pm - 2:00 LUNCH - IAS Dining Hall

2:00 pm - 2:50Ben Green (Cambridge/IAS), Gowers norms in characteristic two

3:00 pm - 3:30 A. Kontorovich (Brown), The hyperbolic lattice point count in infinite volume with applications to sieves

3:30 pm - 4:00 TEA - IAS Fuld Hall Common Room

4:00 pm - 4:30 Jozsef Solymosi(UBC/IAS), Variants of the sum-product problem

4:30 pm - 5:00 Emmanuel Breuillard (IAS), Tits alternative and arithmetic heights

### Wednesday, December 12, 2007

11:00 am - 11:50 Yuri Bilu (Bordeaux), Transcendence of automatic numbers (after Adamczewski, Bugeaud)

12:00 pm - 12:30 Sergei Konyagin (IAS), Waring problem with the Ramanujan τ-function

12:30 pm - 2:00 LUNCH - IAS Dining Hall

2:00 pm - 2:50 Andrew Granville (Montreal/IAS), Pretentiousness in analytic number theory

3:00 pm - 3:30 Javier Cilleruelo (Madrid), Sidon sets and the distribution of powers in F_p

3:30 pm - 4:00 TEA - Fuld Hall Common Room

4:00 pm - 4:50 Peter Sarnak (IAS), An affine sieve