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

## Vanishing simplicial volume for certain affine manifoldsAdd to your list(s) Download to your calendar using vCal - Michelle Bucher (UniversitÃ© de GenÃ¨ve)
- Thursday 22 June 2017, 11:30-12:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. 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. ## This talk is included in these lists:- All CMS events
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