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Texas A&M University
Mathematics

Events for 03/01/2018 from all calendars

Groups and Dynamics Seminar

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Time: 3:00PM - 4:00PM

Location: BLOC 220

Speaker: Robin Tucker-Drob, Texas A&M

Title: Superrigidity and Measure Equivalence

Abstract: Measure Equivalence is an equivalence relation on countable groups introduced by Gromov as a measure-theoretic counterpart to the relation of quasi-isometry coming from geometric group theory. In the first part of this talk I will give a brief introduction to measure equivalence, focusing on various known invariants of measure equivalence. In the second part of the talk I will discuss some recent work in which I show that the collection of groups which satisfy the conclusion of Popa's Cocycle Superrigidity Theorem for Bernoulli actions, is invariant under measure equivalence. I will not say too much about the proof, but rather i plan to discuss some consequences of this result as well as some related open questions.