## 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.

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