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Bicommutant categories

Presented by: 
Andre Henriques University of Oxford, Universiteit Utrecht
Date: 
Thursday 15th June 2017 - 14:30 to 15:30
Venue: 
INI Seminar Room 1
Abstract: 
Bicommutant categories are higher categorical analogs of von Neumann algebras. There exist currently two sources of examples of bicommutant categories: unitary fusion categories, and completely rational unitary conformal field theories.

I will give a general introduction on what and why bicommutant categories are. Then I will talk about a recent result with Dave Penneys: Morita equivalent unitary fusion categories have isomorphic associated bicommutant categories.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons