##### Department of Mathematics,

University of California San Diego

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### Algebra Seminar

## Henry Tucker

#### UCSD

## Fusion categories and their invariants

##### Abstract:

Fusion categories appear in many areas of mathematics. They are realized by topological quantum field theories, representations of finite groups and Hopf algebras, and invariants for knots and Murray-von Neumann subfactors. An important numerical invariant of these categories are the Frobenius-Schur indicators, which are generalized versions of those for finite group representations. It is thought that these indicators should provide a complete invariant for a fairly wide class of fusion categories; in this talk we will discuss new families of so-called near-group fusion categories (i.e. those with only one non-invertible indecomposable object) which satisfy this property.

Organizer: Alireza Salehi Golsefidy

### October 17, 2016

### 3:00 PM

### AP&M 7321

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