Irreducible symplectic varieties from moduli spaces of sheaves

Arvid Perego

Moduli spaces of semistable sheaves over projective K3 surfaces form a wide family of examples of irreducible symplectic varieties. We will present a proof of this, and we will give a description of their second integral cohomology. This is a joint work with A. Rapagnetta.

http://scgp.stonybrook.edu/video_portal/video.php?id=5667

Simons- Program: Hyperkahler quotients, singularities, and quivers