Poincaré Recurrence Theorem: from Stability of the Solar System to the Green-Tao Theorem on Arithmetic Progressions in Primes

Vitaly Bergelson

Ohio State University

Brandeis University

Thursday, October 14, 2010

Talk at 4:30 p.m. in 317 Goldsmith Hall

Tea at 4:00 p.m. in 300 Goldsmith Hall

Abstract: Poincaré's Recurrence Theorem (which appears as Theorem I in his celebrated Acta Mathematica paper "Sur le problème des trois corps et les equations de la dynamique") was originally intended to facilitate the study of stability of the solar system. After briefly discussing the history and some applications of Poincaré's Recurrence Theorem in the kinetic theory of gases, we will focus on some modern enhancements and generalizations of it which lead to strong applications in combinatorics and number theory. We will conclude with discussion of some natural open problems and conjectures. The talk is intended for a general audience.

Home Web page: Alexandru I. Suciu Posted: September 30, 2010
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