Wall-crossing and differential equations

Abstract: 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.

algebraic geometry

Audience: researchers in the topic

UBC Vancouver Algebraic Geometry Seminar

Series comments: Recordings and slides are available on the seminar webpage:

wiki.math.ubc.ca/mathbook/alggeom-seminar/Main_Page