##### Department of Mathematics,

University of California San Diego

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### RTG Colloquium

## Henry Tucker

#### UCSD

## Fusion categories: their invariants and realizations

##### 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. Using these categorical indicators we are able to distinguish near-group fusion categories, that is those fusion categories with one non-invertible object, and obtain some realizations of their tensor equivalence classes.

### November 9, 2016

### 3:00 PM

### AP&M 6402

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