Ziyu Zhang (MPI Bonn):
Cotangent Complex of Moduli Spaces and Symplectic Structures
Time and place
Friday, 20.7.12, 10:00-11:00, Raum 404, Eckerstr. 1
Abstract
A remarkable theorem of Mukai is the existence of symplectic structures on the smooth moduli spaces of semistable sheaves on K3 surfaces, which identifies the cotangent bundle of a moduli space with its dual. In this talk I will describe the cotangent complex of a possibly singular moduli space, viewed as an Artin stack, and show that it shares a similar duality property as in the case of a smooth moduli space.