Alina Marion

A rank-level duality for moduli spaces of bundles on a curve

I will construct an isomorphism between spaces of sections of line bundles on different moduli spaces of bundles. This is a variant of the rank-level duality in Wess-Zumino-Witten theory, known as the strange duality in the mathematics literature, and recently proved by Prakash Belkale for a generic curve. The construction relies on an appropriate enumerative interpretation of the Verlinde formula, which computes the dimension of the spaces of sections involved. This is joint work with D. Oprea.