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Discrete Rigidity Phenomena in Additive Combinatorics |
| November 03, 2008 to November 07, 2008 |
| Organized By: Ben Green (University of Cambridge), Bryna Kra (Northwestern University), Emmanuel Lesigne (University of Tours), Anthony Quas (University of Victoria), Mate Wierdl (University of Memphis) |
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| Parent Programs: |
| Ergodic Theory and Additive Combinatorics |
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| Participant List: |
| View a List of Registered Participants |
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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.- Freiman's theorem concerning the structure of sets with small doubling;
- The Gowers Inverse Conjecture, concerning the structure of sets containing many parallelepipeds;
- 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. |
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Schedule |
Monday November 3, 2008 |
| 09:00AM - 09:45AM |
Ben Green |
Discrete Rigidity Phenomena
(See Abstract) |
| 10:15AM - 11:00AM |
Alexander Gamburd |
Uniform spectral gap bounds
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| 11:15AM - 12:00PM |
Bernard Host |
How does one recognize a nilsequence?
(See Abstract) |
| 02:15PM - 03:00PM |
Mei-Chu Chang |
Sum-Product and Character Sums in finite fields
(See Abstract) |
| 04:00PM - 05:00PM |
MSRI/Evans Lecture by Timothy Gowers
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Tuesday November 4, 2008 |
| 10:00AM - 10:45AM |
Emmanue Breuillard |
A strong Tits Alternative and Arithmetic Heights
(See Abstract) |
| 11:15AM - 12:00PM |
Harald Helfgott |
Growth in SL3
(See Abstract) |
| 01:45PM - 02:30PM |
Avi Wigderson |
Randomness Extractors
(See Abstract) |
| 02:35PM - 03:20PM |
Tom Sanders |
Freiman-type theorems in nonabelian groups
(See Abstract) |
| 03:45PM - 04:30PM |
Tamar Ziegler |
Multiple recurrence along the shifted primes
(See Abstract) |
Wednesday November 5, 2008 |
| 09:00AM - 09:45AM |
Manfred Einsiedler |
Rigidity of unipotent joinings in positive characteristic.
(See Abstract) |
| 10:15AM - 11:00AM |
Ryan O'Donnell |
Inverse Theorems and Inapproximability
(See Abstract) |
| 11:15AM - 12:00PM |
Elon Lindenstrauss |
On stationary measures and random walks on tori.
(See Abstract) |
| 12:00PM - 06:00PM |
No talks this afternoon
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Thursday November 6, 2008 |
| 10:00AM - 10:45AM |
James Lee |
Eigenvalue multiplicity and growth of groups
(See Abstract) |
| 11:15AM - 12:00PM |
Adrian Ubis |
The horocycle flow and primes
(See Abstract) |
| 01:45PM - 02:30PM |
Jean Bourgain |
Extension of Selberg's theorem and sieving in
(See Abstract) |
| 02:35PM - 03:20PM |
Akshay Venkatesh |
Uniform distribution and Hecke Operators
(See Abstract) |
| 04:00PM - 04:45PM |
Hillel Furstenberg |
Additive Combinatorics and Piecewise Bohr Subsets of N
(See Abstract) |
Friday November 7, 2008 |
| 10:00AM - 10:45AM |
Julia Wolf |
Decompositions into polynomial phase functions
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| 11:15AM - 12:00PM |
Luca Trevisan |
A "Boosting" proof of the weak regularity lemma
(See Abstract) |
| 01:45PM - 02:30PM |
Hamed Hatami |
Graph norms and Sidorenko's conjecture
(See Abstract) |
| 02:35PM - 03:20PM |
Terence Tao |
Distribution of Orbits on NIlmanifolds
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Currently Available Videos |
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Ben Green
, Discrete Rigidity Phenomena November 3,2008, 09:00 AM to 09:45 AM
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Alexander Gamburd
, Uniform spectral gap bounds November 3,2008, 10:15 AM to 11:00 AM
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Bernard Host
, How does one recognize a nilsequence? November 3,2008, 11:15 AM to 12:00 PM
-
Mei-Chu Chang
, Sum-Product and Character Sums in finite fields November 3,2008, 02:15 PM to 03:00 PM
-
Emmanue Breuillard
, A strong Tits Alternative and Arithmetic Heights November 4,2008, 10:00 AM to 10:45 AM
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Harald Helfgott
, Growth in SL3 November 4,2008, 11:15 AM to 12:00 PM
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Avi Wigderson
, Randomness Extractors November 4,2008, 01:45 PM to 02:30 PM
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Tom Sanders
, Freiman-type theorems in nonabelian groups November 4,2008, 02:35 PM to 03:20 PM
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Tamar Ziegler
, Multiple recurrence along the shifted primes November 4,2008, 03:45 PM to 04:30 PM
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Manfred Einsiedler
, Rigidity of unipotent joinings in positive characteristic November 5,2008, 09:00 AM to 09:45 AM
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Ryan O'Donnell
, Inverse Theorems and Inapproximability November 5,2008, 10:15 AM to 11:00 AM
-
Elon Lindenstrauss
, On stationary measures and random walks on tori. November 5,2008, 11:15 AM to 12:00 PM
-
James Lee
, Eigenvalue multiplicity and growth of groups November 6,2008, 10:00 AM to 10:45 AM
-
Adrian Ubis
, The horocycle flow and primes November 6,2008, 11:15 AM to 12:00 PM
-
Jean Bourgain
, Extension of Selberg's theorem and sieving in November 6,2008, 01:45 PM to 02:30 PM
-
Akshay Venkatesh
, Uniform distribution and Hecke Operators November 6,2008, 02:35 PM to 03:20 PM
-
Hillel Furstenberg
, Additive Combinatorics and Piecewise Bohr Subsets of N November 6,2008, 04:00 PM to 04:45 PM
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Julia Wolf
, Decompositions into polynomial phase functions November 7,2008, 10:00 AM to 10:45 AM
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Luca Trevisan
, A Boosting proof of the weak regularity lemma November 7,2008, 11:15 AM to 12:00 PM
-
Hamed Hatami
, Graph norms and Sidorenko's conjecture November 7,2008, 01:45 PM to 02:30 PM
-
Terence Tao
, Distribution of Orbits on NIlmanifolds November 7,2008, 02:35 PM to 03:20 PM
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| You can find videos of other workshops and events on our VMath - Streaming Video page. |
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For more information:
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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