Statut | Confirmé |
Série | MATH-IHES |
Domaines | hep-th |
Date | Mercredi 25 Avril 2018 |
Heure | 16:30 |
Institut | IHES |
Salle | Amphithéâtre Léon Motchane |
Nom de l'orateur | Alessandrini |
Prenom de l'orateur | Daniele |
Addresse email de l'orateur | |
Institution de l'orateur | Universität Heidelberg |
Titre | Domains of discontinuity for (quasi-)Hitchin representations |
Résumé | Among representations of surface groups into Lie groups, the Anosov representations are the ones with the nicest dynamical properties. Guichard-Wienhard and Kapovich-Leeb-Porti have shown that their actions on generalized flag manifolds often admit co-compact domains of discontinuity, whose quotients are closed manifolds carrying interesting geometric structures. Dumas and Sanders studied the topology and the geometry of the quotient in the case of quasi-Hitchin representations (Anosov representations which are deformations of Hitchin representations). In a conjecture they ask whether these manifolds are homeomorphic to fiber bundles over the surface. In joint work with Qiongling Li, we can prove that the conjecture is true for (quasi-)Hitchin representations in SL(n,R) and SL(n,C), acting on projective spaces and partial flag manifolds parametrizing points and hyperplanes. |
Numéro de preprint arXiv | |
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