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SUMMARY:Group theoretic Dehn fillings and their L^2-Betti numbers - Nansen
  Petrosyan (University of Southampton)
DTSTART:20251119T150000Z
DTEND:20251119T160000Z
UID:TALK239497@talks.cam.ac.uk
DESCRIPTION:Dehn filling is a fundamental tool in group theory\, appearing
  in the solution of the Virtual Haken Conjecture\, the study of the Farrel
 l-Jones and Baum-Connes Conjecture\, the isomorphism problem of relatively
  hyperbolic groups\, and the construction of purely pseudo-Anosov normal s
 ubgroups of mapping class groups. In this talk\, I will discuss past joint
  work with Bin Sun on the cohomology of Dehn filling quotients and our rec
 ent results on their L^2-Betti numbers. The applications include the verif
 ication of&nbsp\; the Singer Conjecture for certain Einstein manifolds\, v
 irtual fibering\, and the construction of new examples of hyperbolic group
 s with exotic subgroups.
LOCATION:Seminar Room 2\, Newton Institute
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