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Alexander Shapiro, Univ. of California, Berkeley, Modular functor from higher Teichmüller theory

January 7, 2020 | 3:00 pm - 4:00 pm EST

Quantized higher Teichmüller theory, as described by Fock and Goncharov, assigns an algebra and its representation to a surface and a Lie group. This assignment is equivariant with respect to the action of the mapping class group of the surface, and is conjectured to give an analog of a modular functor, that is it should respect the operation of cutting and gluing of surfaces. In this talk I will outline a proof of the above conjecture, and explain how it is related to representation theory of quantum groups. This talk will be mostly based on joint works with Gus Schrader.

Details

Date:
January 7, 2020
Time:
3:00 pm - 4:00 pm EST
Event Category:

Venue

SAS 4201