##### Department of Mathematics,

University of California San Diego

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### Math 243: Functional Analysis Seminar

## Srivatsav Kunnawalkam Elayavalli

#### IPAM (UCLA)

## Two full factors with non-isomorphic ultrapowers

##### Abstract:

I will show you how to construct a full factor $M$ such that $M$ and $L(F_2)$ do not have any isomorphic ultrapowers. The construction uses a combination of techniques from deformation/rigidity and free entropy theory. We also provide the first example of a $\mathrm{II}_1$ factor that is full such that its ultrapower is strongly $1$-bounded. This is joint work with Adrian Ioana and Ionut Chifan.

Hosts: David Jekel and Priyanga Ganesan

### October 4, 2022

### 11:00 AM

APM 6402 and on Zoom

(email djekel@ucsd.edu for Zoom info)

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