Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série MATH-IHES
Domaines hep-th
Date Lundi 18 Novembre 2019
Heure 16:30
Institut IHES
Salle Amphithéâtre Léon Motchane
Nom de l'orateur Bray
Prenom de l'orateur Harrison
Addresse email de l'orateur
Institution de l'orateur Univ. of Michigan
Titre Volume Entropy Rigidity in Hilbert Geometries
Résumé In this talk we will discuss the Besson-Courtois-Gallot (BCG) theorem in the context of convex projective geometry. The BCG theorem is a rigidity statement relating the volume and entropy of a negatively curved Riemannian manifold, and has many applications including Mostow rigidity. In the world of convex real projective structures, the natural Hilbert geometry on these objects is only Finsler and the geometry is generally not even C^2. We discuss our analogous BCG theorem and some applications in the case where the manifold is closed. We will include some ongoing work to extend the result to finite volume. This is based on joint work with Ilesanmi Adeboye and David Constantine.
Numéro de preprint arXiv
Commentaires Séminaire Géométrie et groupes discrets
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