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SUMMARY:Nansen Petrosyan (Southampton)
DTSTART:20230309T150500Z
DTEND:20230309T160000Z
DTSTAMP:20260423T003245Z
UID:GaTO/80
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/80/">Hy
 perbolicity and $L$-infinity cohomology</a>\nby Nansen Petrosyan (Southamp
 ton) as part of Geometry and topology online\n\nLecture held in Room D1.07
  in the Zeeman Building\, University of Warwick.\n\nAbstract\n$L$-infinity
  cohomology is a quasi-isometry invariant of finitely generated groups. It
  was introduced by Gersten as a tool to find lower bounds for the Dehn fun
 ction of some finitely presented groups. I will discuss a generalisation o
 f a theorem of Gersten on surjectivity of the restriction map in $L$-infin
 ity cohomology of groups. This leads to applications on subgroups of hyper
 bolic groups\, quasi-isometric distinction of finitely generated groups an
 d $L$-infinity cohomology calculations for some well-known classes of grou
 ps such as RAAGs\, Bestvina-Brady groups and $\\mathrm{Out}(F_n)$. Along t
 he way\, we obtain hyperbolicity criteria for groups of type $FP_2(Q)$ and
  for those satisfying a rational homological linear isoperimetric inequali
 ty.\n\nI will first define L-infinity cohomology and discuss some of its p
 roperties. I will then sketch some of the main ideas behind the proofs. Th
 is is joint work with Vladimir Vankov.\n
LOCATION:https://researchseminars.org/talk/GaTO/80/
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