Wall-crossing and differential equations

Clusters and Geometry
Event time: 
Friday, October 16, 2020 - 1:00pm
Dylan Allegretti
Speaker affiliation: 
University of British Columbia
Event description: 

The Kontsevich-Soibelman wall-crossing formula describes the wall-crossing behavior of BPS invariants in Donaldson-Thomas theory. It can be formulated as an identity between (possibly infinite) products of automorphisms of a formal power series ring. In this talk, I will explain how these same products also appear in the exact WKB analysis of Schrödinger's equation. In this context, they describe the Stokes phenomenon for objects known as Voros symbols.