Geometry and Analysis on Groups Research Seminar

"Geometry and Analysis on Groups" Research Seminar

Title: Kerin-Milman for the space of sofic representations.
Speaker: Liviu Paunescu (IMAR)
Abstract: Following ideas of Nate Brown, the space of sofic representations of a countable group, up to conjugation, is shown to have a convex structure. For a sofic, non-amenable group, this space is not compact, as shown by Taka Ozawa. In this talk we discuss the difficulties of proving a Kerin-Milman result for this space, in the lack of compactness. Joint work with Radu Munteanu.