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SUMMARY:Cohomology of subgroups of SL2 - Henrique Souza (Madrid)
DTSTART:20241011T124500Z
DTEND:20241011T134500Z
UID:TALK219166@talks.cam.ac.uk
CONTACT:Francesco Fournier-Facio
DESCRIPTION:Given an FP-infinity subgroup G of SL(2\,C)\, we are intereste
 d in the asymptotic behaviour of the cohomology of G with coefficients in 
 an irreducible complex representation V of SL(2\,C). We prove that\, as th
 e dimension of V grows\, the dimensions of these cohomology groups approxi
 mate the L2-Betti numbers of G. This yields a new method to compute those 
 Betti numbers for finitely generated hyperbolic 3-manifold groups. We will
  give a brief idea of the proof\, whose main tool is a completion of the u
 niversal enveloping algebra of the p-adic Lie algebra sl(2\, Zp).
LOCATION:MR13
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