Statut  Confirmé 
Série  MATHIHES 
Domaines  hepth 
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 BessonCourtoisGallot (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 
Fichiers attachés 
Pour obtenir l' affiche de ce séminaire : [ Postscript  PDF ]

[ English version ] 