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Higher Morita categories and extensions

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Speaker: 
Claudia Scheimbauer
Affiliation: 
TU Munich
Date: 
Mon, 2021-07-05 14:00 - 15:00
Parent event: 
MPIM Topology Seminar
In this talk I will explain higher Morita categories of $E_n$-algebras and bimodules and
discuss dualizability therein (joint with Owen Gwilliam). Important examples are a
3-category of fusion categories and a 4-category of modular tensor categories, which are
related to the Turaev-Viro and Reshetikin-Turaev TFTs. I will give an overview of existing
results and discuss why these do not suffice for Reshetikin-Turaev theories. 
 
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