Euler characteristics of tautological vector bundles on parabolic moduli spaces

06.12.2022 15:30 – 16:30

The Verlinde formula, an expression for the Euler characteristic of line bundles on the moduli spaces of vector bundles on Riemann surfaces, is one of the most beautiful results in modern enumerative geometry.

In this talk, I will present a generalisation of this result: a calculation of Euler characteristics of associated tautological vector bundles on moduli spaces. The result is motivated by the formula of Teleman and Woodward for the index of K-theory classes over the moduli stack of bundles on Riemann surfaces. The approach uses a wall-crossing technique and the tautological Hecke correspondence.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-07, Séminaire "Groupes de Lie et espaces de modules"

entrée libre