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Groups And Dynamics
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Isaac Smith, RLM 10.176: Multiple Recurrence Averages and their Characteristic Factors
Thursday, December 06, 2018, 10:00am - 11:00am
In this talk, we will first introduce Furstenberg's MultipleRecurrence Theorem, which generalizes a well-known result incombinatorics from Szemer?di. We will provide a sketch of itsproof to highlight the underlying structure theorem for measure-preservingsystems. Although this result proves convergence of certain averages,it does not specify what they converge to. Thus, we will presentnewer tools, such as Host-Kra semi-norms and characteristic factors,which will allow us to more accurately describe their convergence.This is a candidacy talk.
Location: RLM 10.176

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