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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Topology of ends of nonpositively curved manifolds
- Grigori Avramidi (Universität Münster)
DTSTART;TZID=Europe/London:20170623T133000
DTEND;TZID=Europe/London:20170623T143000
UID:TALK73046AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/73046
DESCRIPTION:Co-author: Tam Nguyen Phan (Binghamton Univ
ersity)
The structure
of ends of a finite volume\, nonpositively curved\
, locally symmetric manifold M is very well unders
tood. By Borel-Serre\, the thin part of the univer
sal cover of such a manifold is homotopy equivalen
t to a rational Tits building. This is a simplicia
l complex built out of the algebra of the locally
symmetric space which turns out to have dimension
= dim M/2. Another application is that the gr
oup cohomology with group ring coefficients of the
fundamental group of M vanishes in low dimensions
(
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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