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SUMMARY:Vanishing simplicial volume for certain affine manifolds - Michell
 e Bucher (Université de Genève)
DTSTART:20170622T103000Z
DTEND:20170622T113000Z
UID:TALK73034@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Affine manifolds\, i.e. manifolds which admit charts given by 
 affine transformations\, remain mysterious by the very few &nbsp\;explicit
  examples and their famous open conjectures: the Auslander Conjecture\, th
 e Chern Conjecture and the Markus Conjecture. After reviewing the current 
 state of knowledge on these conjectures\, I will present an intermediate c
 onjecture\, somehow between the Auslander Conjecture and the Chern Conject
 ure\, involving the simplicial volume\, a topological invariant of manifol
 ds introduced by Gromov in the beginning of the 80&rsquo\;s. In a joint wo
 rk with Chris Connell and Jean-Fran&ccedil\;ois Lafont\, we prove the latt
 er intermediate conjecture under some hypothesis\, thus providing further 
 evidence for the veracity of the Auslander and Chern Conjectures.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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