University of Sydney Algebra Seminar

Gwyn Bellamy (University of Glasgow)

Friday 12 April, 12-1pm, Place: Carslaw 375

Resolutions of symplectic quotient singularities

In this talk I will explain how one can explicitly construct all crepant resolutions of the symplectic quotient singularities associated to wreath product groups. The resolutions are all given by Nakajima quiver varieties. In order to prove that all resolutions are obtained this way, one needs to describe what happens to the geometry as one crosses the walls inside the GIT parameter space for these quiver varieties. This is based on joint work with Alistair Craw.