CoHAs, vertex algebras and torus localisation

29 November 2021
14:15
Alyosha Latyntsev
Abstract

Cohomological Hall algebras and vertex algebras are two structures whose origins are (at least in part) from physics. I will explain what these objects are, how the latter was related to moduli stacks by Joyce, and a theorem relating these two structures. The main tool is torus localisation, a method for "turning geometry into combinatorics", or rather a new formulation of it which works in the singular setting.

  • Geometry and Analysis Seminar