Special Colloquium
Alina Marian
Yale University
Verlinde formulas on moduli spaces of vector bundles via Quot schemes
Abstract: The moduli space of semistable vector bundles on a Riemann
surface is arguably the simplest and best-studied instance of a parameter
space for sheaves. I will describe the relation between intersection
products on this moduli space, giving information about its topology, and
a class of enumerative intersections on the space of maps from the Riemann
surface to a suitable Grassmannian. This relationship yields painlessly
the classic Verlinde formulas on the moduli space of bundles, computing
the Euler characteristics of tensor powers of the determinant
bundle. This talk is based on joint work with Dragos Oprea.
Monday January 29, 2007 at 3:00 PM in SEO 636