Student Working Seminar in Groups and Dynamics
Date: December 4, 2019
Time: 1:00PM - 2:00PM
Location: BLOC 628
Speaker: James O'Quinn
Title: The Furstenberg-Zimmer structure theorem and a proof of Szemerédi's theorem
Abstract: The Furstenberg-Zimmer structure theorem is a way to partially recover the dichotomy between weak mixing and compact vectors inherent in the study of unitary representations of groups into the p.m.p. action setting. During this talk, I will prove one version of the Furstenberg-Zimmer theorem using some measure theoretic techniques, and then show how Szemerédi's theorem follows from this result.