The Verlinde formula and parabolic Hecke correspondences

Beware, different zoom meeting ID just for this day: 993 2439 2000
Meeting ID : 993 2439 2000
Passcode : 857807

The Verlinde formula for the Hilbert function of the moduli space of vector bundles on a Riemann surface
is one of the most fascinating results in enumerative geometry. I will review several approaches to this theorem,
and then present a brand new proof (joint work with Olga Trapeznikova) based on a new look at the Drinfeld-Hecke correspondences on curves.