Teichmüller space via skein algebras

Geometry Topology Student Seminar
Wednesday, February 2, 2022 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 006 (also in BlueJeans)
Tao Yu – Georgia Tech
Roberta Shapiro and Weizhe Shen

Quantum Teichmüller space was first introduced by Chekhov and Fock as a version of 2+1d quantum gravity. The definition was translated over time into an algebra of curves on surfaces, which coincides with an extension of the Kauffman bracket skein algebra. In this talk, we will discuss the relation between the Teichmüller space and the Kauffman bracket, and time permitting, the quantized version of this correspondence.

Meeting URL: https://bluejeans.com/106460449/5822