MenuPostdoc Lunch Time Talks
Date: October 25, 2019
Time: 12:35PM - 12:55PM
Location: BLOC 220
Speaker: Shuang Ming, Texas A&M University
Description:
Title: Quantum representations of braid groups and mapping class groups
Abstract: The Kauffman's bracket used for computing Jones polynomial of a link give us a way to make resolutions to crossings. Naturally, Kauffman's bracket defines a set of projective representations of braid groups. These representations turns out to be hom-spaces of certain modular tensor categories. Thus, these constructions generalize to representations of mapping class groups of surfaces with or without boundary. In a project with Greg Kuperberg, we study the irreducibility and denseness of these representations. In today's talk, I will talk about the idea of our proof with the very beginning example.
