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### Exotic fusion categories

**Algebra & Discrete Mathematics**

Speaker: | Dave Penneys, University of Toronto |

Location: | 1147 MSB |

Start time: | Sun, Jan 6 2013, 12:00AM |

A fusion category is a type of tensor category which generalizes the category of representations of a finite group. Most well-known examples come from groups, quantum groups, and conformal field theory. However, there are certain examples which arise from the theory of subfactors which do not yet fit into well-understood families. I will discuss the ongoing program to classify fusion categories and to search for exotic examples.