The Verlinde formula and parabolic Hecke correspondences

Abstract: 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.

HEP - theorymathematical physicsalgebraic geometryalgebraic topologycombinatoricsdifferential geometrygeometric topologyquantum algebra

Audience: researchers in the topic

Comments: Pass code: 857807. Organized by Alexander Thomas (MPIM)

Algebra, Geometry and Physics seminar (MPIM Bonn/HU Berlin)

Series comments: There is a mild moderation: if you are not affiliated to MPIM or HU, please send Gaetan an email to give notice that you would like to attend the seminar (only for the first time). If you wish to be on the mailing list of the seminar, please send an email to Kristina Schulze (schulze@math.hu-berlin.de)