Verlinde formulas on moduli spaces of vector bundles via Quot schemes -- Alina Marian

I will describe the relation between intersection products on the moduli space of coprime rank and degree stable vector bundles on a smooth curve, and a class of enumerative intersections on the space of maps from the curve to a suitable Grassmannian. This relationship yields painlessly the Verlinde formulas on the moduli space of bundles, computing the dimensions of spaces of sections of tensor powers of the determinant bundle.