Published on *Department of Mathematics* (https://math.yale.edu)

October 16, 2020 - 1:00pm

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 SchrÃ¶dinger's equation. In this context, they describe the Stokes phenomenon for objects known as Voros symbols.