Prochainement

Mercredi 12 septembre 14:00-17:00 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

Jeudi 13 septembre 14:00-15:00 Henry Wilton (University of Cambridge)
Surface subgroups of graphs of groups

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Résumé : The Surface Subgroup conjecture, now a famous theorem of Kahn—Markovic, asserts that every closed hyperbolic 3-manifold contains an immersed closed hyperbolic surface. Long before Kahn—Markovic’s theorem, Gromov generalised the conjecture to (word-)hyperbolic groups : he asked whether every hyperbolic group has a subgroup isomorphic to the fundamental group a closed, hyperbolic surface, unless it has a free subgroup of finite index. In this talk, I’ll discuss this conjecture in the case of amalgamated free products of free groups F_1*_H F_2.

Notes de dernières minutes : Café culturel assuré à 13h par Frédéric Haglund

Surface subgroups of graphs of groups  Version PDF

Vendredi 14 septembre 14:00-17:00 Andras Szenes (Université de Genève)
Higgs bundles, Bethe Ansatz and the perverse filtration (suite de l’exposé du 12/09)

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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 (suite de l’exposé du 12/09)  Version PDF

Passés

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juillet 2018 | septembre 2018