Texas A&M
University, Department of
Mathematics, 216 Milner Hall, 16th of September 2009, 3:00-3:50
Groups and Dynamics Seminar
On Furstenberg's proof of Szemeredi's Theorem
David Kerr of Texas
A&M
University
I will survey the main ideas in Furstenberg's ergodic-theoretic proof
of Szemeredi's theorem on the existence of arbitrarily long arithmetic
progressions in sets of integers of positive upper density. Included
will be a discussion of some of the operator-algebraic issues that
arise in connection with the underlying Furstenberg-Zimmer structure
theorem for measure-preserving systems.