Personal tools
You are here: Home Events Singularities of moduli spaces of sheaves on K3 surfaces and Nakajima quivers varieties.

Singularities of moduli spaces of sheaves on K3 surfaces and Nakajima quivers varieties.

— filed under:

Guilia Saccà (Stony Brook)

What
  • SFB-Kolloquium
When Jan 23, 2014
from 03:15 pm to 04:15 pm
Where Mainz, 05-432 (Hilbertraum)
Add event to calendar vCal
iCal

Abstract. We establish the semistablity of Lazersfeld-Mukai bundles for some class of rank zero sheaves on a K3 surface, providing examples of moduli spaces which, locally around a singular point, are isomorphic to a quiver variety in the sense of Nakajima.

The singularities of these moduli spaces arise from the choice of a specific polarization and admit natural symplectic resolutions corresponding to the choice of a general polarization. We show that these resolutions correspond, via the above isomorphism, to natural symplectic resolutions of the quiver variety coming from variations of GIT quotients. This is joint work with E. Arbarello.