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Introduction to Ergodic Theory and Additive Combinatorics |
| August 25, 2008 to August 29, 2008 |
| Organized By: Ben Green (University of Cambridge), Bryna Kra (Northwestern University), Emmanuel Lesigne (University of Tours), Anthony Quas (University of Victoria), and 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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The theme of this workshop is the interplay between recurrence in ergodic theory and additive combinatorics. In addition to the now classical results on the existence of arithmetic progressions in large sets, we focus on the parallels among the ergodic theoretical, harmonic analytical and combinatorial methods. During the workshop, we plan several minicourses, including the following topics: recurrence in ergodic theory, correspondence principle, nilsystems in ergodic theory, and existence of arithmetic progressions in primes.
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 CGMS62 in the “Guest Comment” box, and provide requested information
The cut-off date for reservations is August 8, 2008. |
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Schedule |
Monday August 25, 2008 |
| 09:00AM - 09:30AM |
coffee and registration
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| 09:30AM - 10:30AM |
Bernard Host |
Nilmanifolds in ergodic theory, I
(See Abstract) |
| 10:30AM - 11:10AM |
morning break
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| 11:10AM - 12:00PM |
Endre Szemeredi |
On the sumsets of infinite sequences
(See Abstract) |
| 12:00PM - 02:00PM |
lunch
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| 02:00PM - 03:00PM |
Bernard Host |
Nilmanifolds in ergodic theory, II
(See Abstract) |
| 03:00PM - 04:10PM |
afternoon tea
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| 04:10PM - 05:00PM |
Nikos Frantzikinakis |
Szemeredi's theorem and Hardy fields
(See Abstract) |
Tuesday August 26, 2008 |
| 09:30AM - 10:30AM |
Vitaly Bergelson |
An Introduction to Diophantine Dynamics
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| 10:30AM - 11:00AM |
morning break
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| 11:00AM - 12:00PM |
Bernard Host |
Nilmanifolds in ergodic theory, III
(See Abstract) |
| 12:00PM - 02:00PM |
lunch
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| 02:00PM - 02:50PM |
Izabella Laba |
Arithmetic progressions in sets of fractional dimension
(See Abstract) |
| 03:00PM - 04:10PM |
afternoon tea
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| 04:10PM - 05:00PM |
Thierry de la Rue |
Random Fibonacci sequences
(See Abstract) |
Wednesday August 27, 2008 |
| 09:30AM - 10:30AM |
Ben Green |
Progressions in primes, I
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| 10:30AM - 11:00AM |
morning break
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| 11:00AM - 12:00PM |
Vitaly Bergelson |
Ergodic Ramsey theory and amenable groups
(See Abstract) |
Thursday August 28, 2008 |
| 09:30AM - 10:30AM |
Terence Tao |
Correspondence principle and finitary ergodic theory, I
(See Abstract) |
| 10:30AM - 11:00AM |
morning break
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| 11:00AM - 12:00PM |
Ben Green |
Progressions in primes, II
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| 12:00PM - 02:00PM |
lunch
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| 02:00PM - 03:00PM |
Terence Tao |
Correspondence principle and finitary ergodic theory, II
(See Abstract) |
| 03:00PM - 03:30PM |
afternoon tea
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| 03:30PM - 04:00PM |
Problem session
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| 04:10PM - 05:00PM |
Tom Sanders |
Roth's theorem in additive combinatorics
(See Abstract) |
Friday August 29, 2008 |
| 09:30AM - 10:30AM |
Ben Green |
Progressions in primes, III
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| 10:30AM - 11:00AM |
morning break
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| 11:00AM - 12:00PM |
Terence Tao |
Correspondence principle and finitary ergodic theory, III
(See Abstract) |
| 12:00PM - 02:00PM |
lunch
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| 02:00PM - 02:50PM |
Tamar Ziegler |
An inverse theorem for the uniformity seminorms associated with the action of \F_p^\infty.
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| 02:50PM - 03:30PM |
afternoon tea
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| 03:30PM - 04:00PM |
Problem session
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| 04:10PM - 05:00PM |
Benjamin Weiss |
Connections between Ramsey theory for trees and Markov processes
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Currently Available Videos |
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Bernard Host
, Nilmanifolds in ergodic theory, I August 25,2008, 09:30 AM to 10:30 AM
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Endre Szemeredi
, On the sumsets of infinite sequences August 25,2008, 11:10 AM to 12:00 PM
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Bernard Host
, Nilmanifolds in ergodic theory, II August 25,2008, 02:00 PM to 03:00 PM
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Nikos Frantzikinakis
, Szemeredi's theorem and Hardy fields August 25,2008, 04:10 PM to 05:00 PM
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Vitaly Bergelson
, An Introduction to Diophantine Dynamics August 26,2008, 09:30 AM to 10:30 AM
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Bernard Host
, Nilmanifolds in ergodic theory, III August 26,2008, 11:00 AM to 12:00 PM
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Izabella Laba
, Arithmetic progressions in sets of fractional dimension August 26,2008, 02:00 PM to 02:50 PM
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Thierry de la Rue
, Random Fibonacci sequences August 26,2008, 04:10 PM to 05:00 PM
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Ben Green
, Progressions in primes, I August 27,2008, 09:30 AM to 10:30 AM
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Vitaly Bergelson
, Ergodic Ramsey theory and amenable groups August 27,2008, 11:00 AM to 12:00 PM
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Terence Tao
, Correspondence principle and finitary ergodic theory, I August 28,2008, 09:30 AM to 10:30 AM
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Ben Green
, Progressions in primes, II August 28,2008, 11:00 AM to 12:00 PM
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Terence Tao
, Correspondence principle and finitary ergodic theory, II August 28,2008, 02:00 PM to 03:00 PM
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Tom Sanders
, Roth's theorem in additive combinatorics August 28,2008, 04:10 PM to 05:00 PM
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Ben Green
, Progressions in primes, III August 29,2008, 09:30 AM to 10:30 AM
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Terence Tao
, Correspondence principle and finitary ergodic theory, III August 29,2008, 11:00 AM to 12:00 PM
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Tamar Ziegler
, An inverse theorem for the uniformity seminorms associated with the action of \F_p^\infty. August 29,2008, 02:00 PM to 02:50 PM
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Benjamin Weiss
, Connections between Ramsey theory for trees and Markov processes August 29,2008, 04:10 PM to 05:00 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:
Introduction to Ergodic Theory and 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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