Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série MATH-IHES
Domaines math
Date Lundi 12 Décembre 2022
Heure 14:00
Institut IHES
Salle Amphithéâtre Léon Motchane
Nom de l'orateur Raimbault
Prenom de l'orateur Jean
Addresse email de l'orateur
Institution de l'orateur Aix-Marseille Université
Titre Thin Parts of Arithmetic Locally Symmetric Spaces
Résumé The well-known collar or Margulis lemma describes the structure of negatively curved manifolds at mesoscopic scale, in particular it allows to describe these manifolds globally through the "thick-thin decomposition". This is not sufficient, however, to completely understand the homotopy type of the manifold, even roughly. In this talk I will describe an "arithmetic Margulis lemma" (essentially a consequence of work of E. Breuillard) which allows to describe thin parts at a macroscopic scale in certain circumstances, and how to use it to obtain sharp bounds on the volume of thin parts of arithmetic locally symmetric spaces. This is joint work with M. Frączyk and S. Hurtado.
Numéro de preprint arXiv
Commentaires Séminaire Géométrie et groupes discrets
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