Wall-crossing from Higgs bundles to vortices

Date: 2022-07-27

Time: 13:30 - 14:30

Speaker

Du Pei

Abstract

Quantum field theories can often be used to uncover hidden algebraic structures in geometry and hidden geometric structures in algebra. In this talk, I will demonstrate how such “wall-crossing” can relate Higgs bundles with vortices, and how the quantum K-theory of the moduli space of vortices can be understood using this connection.