##### Department of Mathematics,

University of California San Diego

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### Food for Thought

## Gregory Patchell

#### UCSD (gpatchel@ucsd.edu)

## How to Maximize your Mean Ability

##### Abstract:

In this talk I will show you how to maximize your a-mean-ability. More precisely, I will survey some results about maximal amenable subgroups and subalgebras and share a new result which states that it is possible for the space of maximal amenable extensions to be any k-simplex (such as a triangle!). While this talk will technically be about operator algebras, it will be accessible to anyone who knows a bit of group theory (semi-direct products, free products, and the left regular representation).

### November 1, 2024

### 2:00 PM

APM 7321

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