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Department of Mathematics,
University of California San Diego

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Math 292 - Topology Seminar

Slava Krushkal

University of Virginia

Picture TQFTs, categorification, and localization

Abstract:

\indent A``geometric'' construction of $SU(2) (2+1)-$dimensional TQFTs associates to a surface the vector space spanned my multi-curves modulo local relations. The relevant local relations are defined by the Jones-Wenzl projectors. This talk will outline an approach to categorification of this picture construction of TQFTs, in particular categorification of the Jones-Wenzl projectors, and it will explain how the evaluation at a root of unity may be viewed as a localization of a category. (Joint work with Ben Cooper).

November 1, 2011

10:30 AM

AP&M 7218

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