# Vafa-Witten formulas and generalizations – Lothar Göttsche (ICTP, Trieste)

#### Venue

Dipartimento di Matematica, Aula Magna.

#### Abstract

25 years ago Vafa and Witten predicted generating functions for the Euler numbers of the moduli spaces of sheaves on algebraic surfaces. In this talk, I review joint work with Martijn Kool to interpret and check these predictions in terms of virtual Euler numbers, and to extend them to finer invariants like $chi_y$ genus. Time permitting I will also mention recent results on Chern numbers of tautological sheaves, and Verlinde type formulas.

Further information is available on the event page on the Indico platform.

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