Algebraic Geometry Seminar
Giulia Sacca
Stony Brook
Singularities of moduli spaces of sheaves on K3 surfaces and Nakajima quivers varieties
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.
Wednesday April 16, 2014 at 4:00 PM in SEO 427