Algebraic and Arithmetic Geometry Seminar

Moduli of Higgs bundles and Hecke operators on surfaces

Name: Moduli of Higgs bundles and Hecke operators on surfaces
Start: 2023-04-19T15:00:00+02:00
End: 2023-04-19T16:00:00+02:00
Location: Department of Mathematics

by Olivier Schiffmann (CNRS and Université de Paris-Saclay)

Wednesday 19 Apr 2023, 15:00 → 16:00 Europe/Rome

Aula Magna (Department of Mathematics)

Aula Magna

Department of Mathematics

Description

We will introduce and describe an algebra $H(S)$ acting on the cohomology of various moduli spaces of sheaves on a smooth complex surface $S$. We will provide some application to a generalization of Markman's theorem in the semistable (as opposed to stable) case as well as to the Hausel-Thaddeus conjecture on moduli spaces of Higgs bundles on a curve.