12 septembre 2018

Andras Szenes (Université de Genève)
Higgs bundles, Bethe Ansatz and the perverse filtration

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Lieu : Salle 3L8

Résumé : We describe an application of equivariant integration to the topology of the moduli spaces of rank-2 Higgs bundles on Riemann surfaces.
Our integral formulas naturally lead us to certain transcendental equations, the Bethe equations, and to a proof of a conjecture concerning the cohomology of this moduli space : the P=W conjecture.
This work is joint with Simone Chiarello and Tamas Hausel.

Higgs bundles, Bethe Ansatz and the perverse filtration  Version PDF