BIMSA > GRASP seminar Skein algebras and quantized Coulomb branches
Skein algebras and quantized Coulomb branches
Organizers
Pengfei Huang , Tao Su , Hao Sun
Speaker
Dylan Allegretti
Time
Wednesday, March 6, 2024 3:30 PM - 4:30 PM
Venue
A3-2-303
Online
Zoom 242 742 6089 (BIMSA)
Abstract
It is believed that character varieties of surfaces arise in quantum field theory as Coulomb branches of four-dimensional N=2 field theories on R^3xS^1. In this talk, I will explain how this prediction can be proved rigorously in some cases using the notion of a K-theoretic Coulomb branch introduced by Braverman, Finkelberg, and Nakajima. I will describe a relationship between the Kauffman bracket skein algebra, which quantizes the SL2-character variety of a surface, and an associated quantized K-theoretic Coulomb branch. This is joint work with Peng Shan.