Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series MATH-IHES
Subjects hep-th
Date Wednesday 25 April 2018
Time 16:30
Institute IHES
Seminar Room Amphithéâtre Léon Motchane
Speaker's Last Name Alessandrini
Speaker's First Name Daniele
Speaker's Email Address
Speaker's Institution Universität Heidelberg
Title Domains of discontinuity for (quasi-)Hitchin representations
Abstract 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.
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