Home /  Introduction to Ergodic Theory and Additive Combinatorics

Workshop

Introduction to Ergodic Theory and Additive Combinatorics August 25, 2008 - August 29, 2008
Registration Deadline: August 25, 2008 about 16 years ago
To apply for Funding you must register by: May 25, 2008 over 16 years ago
Parent Program:
Organizers 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)
Speaker(s)

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Description
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.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Funding & Logistics Show All Collapse

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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, 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.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Aug 25, 2008
Monday
09:30 AM - 10:30 AM
  Nilmanifolds in ergodic theory, I
Bernard Host
11:10 AM - 12:00 PM
  On the sumsets of infinite sequences
Endre Szemeredi
02:00 PM - 03:00 PM
  Nilmanifolds in ergodic theory, II
Bernard Host
04:10 PM - 05:00 PM
  Szemeredi's theorem and Hardy fields
Nikos Frantzikinakis
Aug 26, 2008
Tuesday
09:30 AM - 10:30 AM
  An Introduction to Diophantine Dynamics
Vitaly Bergelson
11:00 AM - 12:00 PM
  Nilmanifolds in ergodic theory, III
Bernard Host
02:00 PM - 02:50 PM
  Arithmetic progressions in sets of fractional dimension
Izabella Laba (University of British Columbia)
04:10 PM - 05:00 PM
  Random Fibonacci sequences
Thierry de la Rue
Aug 27, 2008
Wednesday
09:30 AM - 10:30 AM
  Progressions in primes, I
Ben Green (University of Oxford)
11:00 AM - 12:00 PM
  Ergodic Ramsey theory and amenable groups
Vitaly Bergelson
Aug 28, 2008
Thursday
09:30 AM - 10:30 AM
  Correspondence principle and finitary ergodic theory, I
Terence Tao (University of California, Los Angeles)
11:00 AM - 12:00 PM
  Progressions in primes, II
Ben Green (University of Oxford)
02:00 PM - 03:00 PM
  Correspondence principle and finitary ergodic theory, II
Terence Tao (University of California, Los Angeles)
04:10 PM - 05:00 PM
  Roth's theorem in additive combinatorics
Tom Sanders
Aug 29, 2008
Friday
09:30 AM - 10:30 AM
  Progressions in primes, III
Ben Green (University of Oxford)
11:00 AM - 12:00 PM
  Correspondence principle and finitary ergodic theory, III
Terence Tao (University of California, Los Angeles)
02:00 PM - 02:50 PM
  An inverse theorem for the uniformity seminorms associated with the action of \F_p^\infty.
Tamar Ziegler (The Hebrew University of Jerusalem)
04:10 PM - 05:00 PM
  Connections between Ramsey theory for trees and Markov processes
Benjamin Weiss