| Date: Tuesday, February 02, 2010
Title: Ergodic Theory, Polynomials and Combinatorial Number Theory
Abstract: Various results obtained in recent years indicate that dynamical systems
exhibit regular behavior along polynomial times. While being of interest
in their own right, the polynomial recurrence and convergence theorems
also lead to strong applications in combinatorics and number theory. We
will discuss some of these applications including various polynomial
extensions of Szemeredi's theorem on arithmetic progressions and the
recent work of Tao and Ziegler on polynomial patterns in primes.
We shall conclude by formulating and discussing some open problems and
conjectures.
Speaker: Vitaly Bergelson
Institution: Ohio State University
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