Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series MATH-IHES
Subjects hep-th
Date Monday 22 May 2017
Time 16:30
Institute IHES
Seminar Room Amphithéâtre Léon Motchane
Speaker's Last Name Danciger
Speaker's First Name Jeffrey
Speaker's Email Address
Speaker's Institution University of Texas at Austin
Title Convex real projective structures and Anosov representations
Abstract We investigate the degree to which the geometry of a compact real projective manifold with boundary is reflected in the associated holonomy representation, a representation of the fundamental group in the projective general linear group PGL(n,R) which in general need not have any nice properties. We show that if the projective manifold is strictly convex, then its holonomy representation is projective Anosov, a condition which generalizes the dynamical properties of convex cocompact representations in rank one (e.g. hyperbolic) geometry. Conversely, a strictly convex projective manifold may be constructed from a projective Anosov representation that preserves a properly convex set in projective space. Applications include new examples of both convex projective manifolds and Anosov representations. Joint work with François Guéritaud and Fanny Kassel.
arXiv Preprint Number
Comments Séminaire Géométrie et groupes discrets
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