Statut | Confirmé |
Série | MATH-IHES |
Domaines | hep-th |
Date | Lundi 12 Décembre 2016 |
Heure | 14:30 |
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 | Université 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 with Chris Connell and Jean-François Lafont. |
Numéro de preprint arXiv | |
Commentaires | Séminaire Géométrie et groupes discrets |
Fichiers attachés |
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