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SUMMARY:Module categories and subfactors from quantum groups - Hans Wenzl 
 (University of California\, San Diego)
DTSTART:20230629T131000Z
DTEND:20230629T135000Z
UID:TALK201997@talks.cam.ac.uk
DESCRIPTION:Let $V=\\C^{2N}$ be the vector representation of $SO(2N)$. We 
 present $q$-deformations of End$_{SO(2N-1)}(V^{\\otimes n})$ which contain
  the centralizer of the action of the quantum group $U_q\\so_{2N}$ on $V^{
 \\otimes n}$. This yields module categories of Rep $U_q\\so_{2N}$. Our con
 struction is inspired by our approach for type $A$ which\, together with a
  recent construction by Copeland and Edie-Michell produces all non-excepti
 onal module categories for fusion categories of Lie type $A$ (with the pos
 sible exception of some families for $SU(N)_k$ with $N$ odd\, where some d
 etails still need to be worked out). In particular\, our approach gives ex
 plicit information about the subfactors such as their indices and principa
 l graphs in all those cases.
LOCATION:Seminar Room 1\, Newton Institute
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