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Discrete Rigidity Phenomena in Additive Combinatorics
Nov 3, 2008 to Nov 7, 2008

Organizer(s)

Ben Green (University of Cambridge), Bryna Kra (Northwestern University), Emmanuel Lesigne (University of Tours), Anthony Quas (University of Victoria), Mate Wierdl (University of Memphis)
To apply for funding, you must register by Wed, Sep 03 2008.
We explore environments in which rigid structural information can be deduced from rather soft combinatorial hypotheses. There will be a particular focus on finite and quantitative questions, although an important aspect of the workshop will be to explore connections with corresponding infinite and qualitative questions in ergodic theory, where as a general rule more is known.

Topics include (but are not be limited to) the following.
  1. Freiman's theorem concerning the structure of sets with small doubling;
  2. The Gowers Inverse Conjecture, concerning the structure of sets containing many parallelepipeds;
  3. Finite versions of Ratner's theorem, concerning the structure of finite unipotent orbits in dynamical systems.




Accommodations:

A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on “Reservations and Availability” then click on “Corporate” at the bottom of the screen and enter the word “math”. Enter Group Code CGMS67 in the “Guest Comment” box, and provide requested information
The cut-off date for reservations is October 17, 2008.

A block of rooms has been reserved at the Hotel Durant. Please mention the workshop name and reference the following code when making reservations via phone, fax or e-mail: BQ0000. The cut-off date for reservations is October 3, 2008.

Funding

To apply for funding, you must register by Wed, Sep 03 2008. Click to Register
Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are made typically 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.
Schedule
Monday, November 03, 2008
9:00AM - 9:45AM Ben Green Discrete Rigidity Phenomena [Video available]
10:15AM - 11:00AM Alexander Gamburd Uniform spectral gap bounds [Video available]
11:15AM - 12:00PM Bernard Host How does one recognize a nilsequence? [Video available]
2:15PM - 3:00PM Mei-Chu Chang Sum-Product and Character Sums in finite fields [Video available]
Tuesday, November 04, 2008
10:00AM - 10:45AM Emmanuel Breuillard A strong Tits Alternative and Arithmetic Heights [Video available]
11:15AM - 12:00PM Harald Helfgott Growth in SL3 [Video available]
1:45PM - 2:30PM Avi Wigderson Randomness Extractors [Video available]
2:35PM - 3:20PM Tom Sanders Freiman-type theorems in nonabelian groups [Video available]
3:45PM - 4:30PM Tamar Ziegler Multiple recurrence along the shifted primes [Video available]
Wednesday, November 05, 2008
9:00AM - 9:45AM Manfred Einsiedler Rigidity of unipotent joinings in positive characteristic [Video available]
10:15AM - 11:00AM Ryan O\'Donnell Inverse Theorems and Inapproximability [Video available]
11:15AM - 12:00PM Elon Lindenstrauss On stationary measures and random walks on tori. [Video available]
Thursday, November 06, 2008
10:00AM - 10:45AM James Lee, James Lee Eigenvalue multiplicity and growth of groups
11:15AM - 12:00PM Adrian Ubis The horocycle flow and primes [Video available]
1:45PM - 2:30PM Jean Bourgain Extension of Selberg's theorem and sieving in [Video available]
2:35PM - 3:20PM Akshay Venkatesh, Akshay Venkatesh Uniform distribution and Hecke Operators
4:00PM - 4:45PM Hillel Furstenberg Additive Combinatorics and Piecewise Bohr Subsets of N [Video available]
Friday, November 07, 2008
10:00AM - 10:45AM Julia Wolf Decompositions into polynomial phase functions [Video available]
11:15AM - 12:00PM Luca Trevisan A Boosting proof of the weak regularity lemma [Video available]
1:45PM - 2:30PM Hamed Hatami Graph norms and Sidorenko's conjecture [Video available]
2:35PM - 3:20PM Terence Tao Distribution of Orbits on NIlmanifolds [Video available]


Questions about this workshop should be sent either by email to
or by regular mail to:
Discrete Rigidity Phenomena in Additive Combinatorics
Mathematical Sciences Research Institute
17 Gauss Way, Berkeley, CA
94720-5070.
USA

The Institute is committed to the principles of Equal Opportunity and Affirmative Action.



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