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Non-semisimple quantum representations of mapping class groups

By Marco de Renzi

Appears in collection : Summer School 2024 - Low dimensional Topology

I will discuss some of the features of a family of non-semisimple generalizations of the quantum representations of mapping class groups of Witten, Reshetikhin, and Turaev. In the non-semisimple case, images of Dehn twists have infinite order, and representations admit a homological model which sheds light on their remarkable properties.

Information about the video

  • Date of recording 04/07/2024
  • Date of publication 07/01/2026
  • Institution Institut Fourier
  • Licence CC BY NC ND
  • Language English
  • Format MP4

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