University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Vanishing simplicial volume for certain affine manifolds

Vanishing simplicial volume for certain affine manifolds

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact INI IT.

NPCW05 - Group actions and cohomology in non-positive curvature

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. After reviewing the current state of knowledge on these conjectures, I will present an intermediate conjecture, somehow between the Auslander Conjecture and the Chern Conjecture, involving the simplicial volume, a topological invariant of manifolds introduced by Gromov in the beginning of the 80’s. In a joint work with Chris Connell and Jean-François Lafont, we prove the latter intermediate conjecture under some hypothesis, thus providing further evidence for the veracity of the Auslander and Chern Conjectures. 

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity