Speaker: Eduardo González (UMASS Boston)

Title: Gauged Gromov Witten Theory and wall-crossing, I,II

Abstract: For a reductive G and a smooth projective G-variety X with a polarisation L, we will define gauged Gromov-Witten invariants from a smooth curve C with target in X. We will describe the dependency on L and we will discuss a wall crossing formula for the invariants as L varies. We will relate this to Woodward's quantisation of the Kirwan map to obtain a wall crossing formula for GW invariants for variations of GIT quotients X//G. We will also describe the "small area" limit for the rescaling of L. This is work with Chris Woodward.