Stability conditions and Stokes factors
Seminar Room 1, Newton Institute
I will explain how the wall-crossing formulae studied by D. Joyce in the context of an abelian category A can be understood as Stokes phenomena for a connection on the Riemann sphere having an irregular singularity at 0 and values in the Ringel-Hall Lie algebra of A. This allows one to interpret Joyce's holomorphic generating functions as defining an isomonodromic family of such connections on the space of stability conditions of A.
This is a joint work with Tom Bridgeland.