Hecke group, mapping class group and TQFT
Organizers
Speaker
Yuze Ruan
Time
Wednesday, March 9, 2022 10:30 AM - 12:00 PM
Venue
1129B
Online
Zoom 242 742 6089
(BIMSA)
Abstract
In this talk, we present a construction of projective (unitary) representations of Hecke groups from the vector spaces associated with the Witten-Reshetikhin-Turaev topological quantum field theory of higher genus surfaces. These representations can be viewed as generalizations of the modular data of the Temperley-Lieb-Jones modular categories. Finally, we discuss properties of these representations including the (in)finiteness of the image and the reducibility.