Séminaires : Séminaire de Systèmes Dynamiques

Equipe(s) : gd,
Responsables :H. Eliasson, B. Fayad, R. Krikorian, P. Le Calvez
Email des responsables :
Salle : 15-25-502
Adresse :Campus Pierre et Marie Curie

Archive avant 2015

Hébergé par le projet Géométrie et Dynamique de l’IMJ

Orateur(s) David Fisher - Indiana,
Titre Totally geodesic submanifolds, dynamics and arithmeticity
Horaire15:00 à 17:45
Résumet is well known that any negtaively curved manifold has infinitely many closed geodesics. In recent work with Bader, Miller and Stover we show that any finite volume real or complex hyperbolic manifold with infinitely many closed maximal totally geodesic submanifolds of dimension 2 or higher is arithmetic. Just as geodesics come from orbits of a one parameter subgroup giving the geodesic flow, higher dimensional totally geodesic manifolds come from orbits of larger subgroups and the proof of this geometric sounding result is almost entirely dynamical. I will describe the results, give some history and motivation and try to outline some of the main ideas in the proofs.
AdresseCampus Pierre et Marie Curie