Analysis Seminar

March 15, 2016 @ 3:30 pm – 4:30 pm
Keller 401: John Robertson

Speaker: John “Curlee” Robertson, University of Hawaii

Title: Analytical Techniques in Measurable Group Theory

Abstract: Measurable Group Theory is a relatively new tool created to recover information about countable groups. We will introduce what it means to be “measure equivalent”, give some examples (and some non-examples), and talk about how this helps us view our groups from the angle of unitary operators on a Hilbert space. More specifically, for two measure equivalent groups a unitary representation of one induces a unitary representation of the other in a “geometry preserving” way. I’ll give a few short proofs and draw some nice pictures. Needless to say, this should be accessible to all.