Title	Witt group of modular categories
Creator	Davydov, Alexei
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-08-15T15:00
Description	Modular categories (or non-degenerate braided fusion categories) can be thought of as generalisations of quadratic spaces. All essential features of the theory of quadratic spaces have analogues for modular categories. In particular it is possible to define Witt equivalence for modular categories. Witt classes form a group. This group is a convenient tool for classifying modular categories. Higher category structure of defects in 3d TFTs and 2d RCFTs indicate to the existence of a 3-category with modular categories as objects. This 3-category provides a higher categorification of the Witt group of modular categories.
Extent	66 minutes
Subject	Mathematics; Category theory; homological algebra; Quantum theory; Algebraic structures
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Ohio University
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-02-14
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0342733
URI	http://hdl.handle.net/2429/60572
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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