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ALT

Seminar

Stability conditions and Stokes factors

Toledano-Laredo, V (Northeastern)
Monday 22 June 2009, 15:30-16:30

Seminar Room 1, Newton Institute

Abstract

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.

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