Groups and Dynamics Seminar

Date: October 18, 2017

Time: 3:00PM - 4:00PM

Location: BLOC 220

Speaker: Robin Tucker-Drob, Texas A&M

Title: Cocycle Superrigidity of Bernoulli shifts and Compact actions

Abstract: I will discuss two results about cocycle superrigidity; the first, which is joint work with Adrian Ioana, is that Bernoulli shift of any nonamenable, inner amenable group, is cocycle superrigid. The second, which is joint with Damien Gaboriau and Adrian Ioana, is that, under a mild strong ergodicity assumption, any left-right translation action of a product group Γ×Λ on a profinite or connected compact group is virtually cocycle superrigid. The proofs of both results use the framework of deformation/rigidity.