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Patterns in primes and dynamics on nilmanifolds

Connections for Women: Geometric and Arithmetic Aspects of Homogeneous Dynamics January 29, 2015 - January 30, 2015

January 29, 2015 (02:00 PM PST - 03:00 PM PST)
Speaker(s): Tamar Ziegler (The Hebrew University of Jerusalem)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

14149

Abstract

I will outline some of the ideas behind the developments in ergodic theory and combinatorial number theory starting with Szemeredi's theorem on arithmetic progressions in dense subsets of the integers and its ergodic theoretic proof by Furstenberg, and culminating with the recent proof of the Hardy-Littlewood estimates for the number of solutions to systems of linear equations of finite complexity.

Supplements
22925?type=thumb Ziegler.Notes 302 KB application/pdf Download
Video/Audio Files

14149

H.264 Video 14149.mp4 357 MB video/mp4 rtsp://videos.msri.org/data/000/022/769/original/14149.mp4 Download
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