##### Department of Mathematics,

University of California San Diego

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### Math 243 - Operator Algebras Seminar

## Dietmar Bisch

#### Vanderbilt University

## Subfactors with infinite representation theory

##### Abstract:

Since the discovery of the Jones polynomial in the 1980's, it is well-known that subfactors of von Neumann factors are intimately related to quantum topology. A subfactor is said to have infinite representation theory, if its standard representation generates infinitely many non-equivalent irreducibles. Such subfactors are quite hard to come by, and very few methods are known to produce interesting examples. I will highlight one such procedure, due to Vaughan Jones and myself. The construction yields new C$^*$-tensor categories and solutions of the quantum Yang-Baxter equation. If time allows, I will also talk about invariants for subfactors beyond the standard invariant.

Host: Adrian Ioana

### April 27, 2017

### 11:00 AM

### AP&M 7321

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