Status | Confirmed |
Seminar Series | MATH-IHES |
Subjects | hep-th |
Date | Monday 16 October 2017 |
Time | 16:30 |
Institute | IHES |
Seminar Room | Amphithéâtre Léon Motchane |
Speaker's Last Name | Bucher |
Speaker's First Name | Michelle |
Speaker's Email Address | |
Speaker's Institution | Unniversité de Genève |
Title | Vanishing simplicial volume for certain affine manifolds |
Abstract | 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. |
arXiv Preprint Number | |
Comments | Séminaire Géométrie et groupes discrets |
Attachments |
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