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Mathematics Colloquium


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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