Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Claudia Scheimbauer
Affiliation:

TU Munich
Date:

Mon, 05/07/2021 - 14:00 - 15:00 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.

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.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/TopologySeminar