Algebraic Geometry Seminar: Dragos Oprea (UCSD)

We consider moduli spaces of semistable sheaves on an elliptically fibered K3 surface, so that the first Chern class of the sheaves is a numerical section. For pairs of complementary such moduli spaces subject to numerical restrictions, we establish the strange duality isomorphism on sections of theta line bundles. We will also present applications to Brill-Noether theory for sheaves on a K3.