Moduli of Higgs bundles and Hecke operators on surfaces – Olivier Schiffmann (CNRS and Université de Paris-Saclay)


Department of Mathematics, Aula Magna.


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.

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

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