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Exotic fusion categories

Algebra & Discrete Mathematics

Speaker: Dave Penneys, University of Toronto
Location: 1147 MSB
Start time: Mon, Jan 6 2014, 4:10PM

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.