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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Algebras, automorphisms, and extensions of quadratic fusion categories

## Algebras, automorphisms, and extensions of quadratic fusion categoriesAdd to your list(s) Download to your calendar using vCal - Pinhas Grossman ()
- Friday 27 January 2017, 11:30-12:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact INI IT. OASW01 - Structure of operator algebras: subfactors and fusion categories To a finite index subfactor there is a associated a tensor category along with a distinguished algebra object. If the subfactor has finite depth, this tensor category is a fusion category. The Brauer-Picard group of a fusion category, introduced by Etingof-Nikshych-Ostrik, is the (finite) group of Morita autoequivalences. It contains as a subgroup the outer automorphism group of the fusion category. In this talk we will decribe the Brauer-Picard groups of some quadratic fusion categories as groups of automorphisms which move around certain algebra objects. Combining this description with an operator algebraic construction, we can classify graded extensions of the Asaeda-Haagerup fusion categories. This is joint work with Masaki Izumi and Noah Snyder. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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