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SUMMARY:Algebras\, automorphisms\, and extensions of quadratic fusion cate
 gories - Pinhas Grossman ()
DTSTART:20170127T113000Z
DTEND:20170127T123000Z
UID:TALK70345@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:To a finite index subfactor there is a associated a tensor cat
 egory along with a distinguished algebra object. If the subfactor has fini
 te depth\, this tensor category is a fusion category. The Brauer-Picard gr
 oup of a fusion category\, introduced by Etingof-Nikshych-Ostrik\, is the 
 (finite) group of Morita autoequivalences. It contains as a subgroup the o
 uter automorphism group of the fusion category. In this talk we will decri
 be 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 gra
 ded extensions of the Asaeda-Haagerup fusion categories. This is joint wor
 k with Masaki Izumi and Noah Snyder.<br>
LOCATION:Seminar Room 1\, Newton Institute
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