## Free Probability and Operators

**Date: ** September 22, 2023

**Time: ** 4:00PM - 5:00PM

**Location: ** BLOC 506A

**Speaker: **Srivatsav Kunnawalkam Elayavalli, UCSD

**Title: ***How to construct two non Gamma II_1 factors with non isomorphic ultrapowers*

**Abstract: **I will describe a construction due to myself, Chifan and Ioana of a II_1 factor N such that N^omega is not isomorphic to L(F_2)^omega for any free ultrafilter omega. This is the first known such examples. The proof uses Voiculescu's free entropy theory and Popa's deformation rigidity theory.