Skein algebras and quantized Coulomb branches
组织者
黄鹏飞
,
苏桃
, 孙浩
演讲者
Dylan Allegretti
时间
2024年03月06日 15:30 至 16:30
地点
A3-2-303
线上
Zoom 242 742 6089
(BIMSA)
摘要
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.