##### Department of Mathematics,

University of California San Diego

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### Math 243 - Functional Analysis Seminar

## Vern Paulsen

#### University of Waterloo

## Synchronous Games and the Connes Embedding Problem

##### Abstract:

In MIP*$=$RE the authors settle the CEP in the negative by showing that two computational complexity classes are equal. But the heart of their argument is the construction of a synchronous game with certain properties. In this talk we will describe the theory of synchronous games, and show how our construction of the algebra of a game leads more directly to the CEP. This approach to the CEP still depends on their construction of a synchronous game with particular properties, but stays within the context of operator algebras and games.

Host: Matthew Wiersma

### December 8, 2020

### 10:00 AM

### Contact mtwiersma@ucsd.edu for zoom info

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