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SUMMARY:On the cohomology of arithmetic hyperbolic manifolds - Nicolas Ber
 geron\, Jussieu
DTSTART:20101027T150000Z
DTEND:20101027T160000Z
UID:TALK25755@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:James Arthur has obtained spectacular classification results f
 or the automorphic representations of classical groups. These have deep co
 nsequences for the topology of arithmetic real hyperbolic manifolds\, enab
 ling one (1) to give relations between the cohomology of an arithmetic hyp
 erbolic manifold and its totally geodesic submanifolds (j.w. Laurent Cloze
 l)\, (2) to construct arithmetic hyperbolic manifolds for which any congru
 ence cover has zero first Betti number (j.w. Laurent Clozel) and (3) to re
 present small degree cohomology classes as linear combinations of\ntotally
  geodesic manifolds (j.w. Colette Moeglin and John Millson). I will descri
 be these results and explain their relations with Arthur's work.
LOCATION:MR13
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