Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série MATH-IHES
Domaines hep-th
Date Lundi 16 Octobre 2017
Heure 16:30
Institut IHES
Salle Amphithéâtre Léon Motchane
Nom de l'orateur Bucher
Prenom de l'orateur Michelle
Addresse email de l'orateur
Institution de l'orateur Unniversité de Genève
Titre Vanishing simplicial volume for certain affine manifolds
Résumé Affine manifolds, i.e. manifolds which admit charts given by affine transformations, remain mysterious by the very few explicit examples and their famous open conjectures: the Auslander Conjecture, the Chern Conjecture and the Markus Conjecture. I will discuss an intermediate conjecture, somehow between the Auslander Conjecture and the Chern Conjecture, predicting the vanishing of the simplicial volume of affine manifolds. In a joint work with Chris Connell and Jean-François Lafont, we prove the latter conjecture under some hypothesis, thus providing further evidence for the veracity of the Auslander and Chern Conjectures. To do so, we provide a simple cohomological criterion for aspherical manifolds with normal amenable subgroups in their fundamental group to have vanishing simplicial volume. This answers a special case of a question due to Lück. Joint work with Chris Connell and Jean-François Lafont.
Numéro de preprint arXiv
Commentaires Séminaire Géométrie et groupes discrets
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