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SUMMARY:Infinitely presented graphical small cancellation groups
DTSTART:20160204T130000
DTEND:20160204T140000
DTSTAMP:20260505T014919Z
UID:3c2e4a14072268f530ebe92e1891a848abd9071cfb8fb6bd65e842dc
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dominik Gruber\nGraphical small cancellation theory is a tool 
 for constructing finitely generated groups with prescribed subgraphs embed
 ded in their Cayley graphs. It has provided the only known counterexamples
  to the Baum-Connes conjecture with coefficients and the only known non-co
 arsely amenable groups.\nI will present a purely combinatorial approach to
  the theory\, which is more general and allows more flexibility than prior
  interpretations. I will explain that this approach produces groups with c
 oarsely embedded prescribed infinite sequences of finite graphs. Therefore
 \, it yields groups with the properties mentioned above. I will discuss th
 at the resulting infinitely presented groups are acylindrically hyperbolic
  (joint work with A. Sisto). This generalization of the notion of Gromov h
 yperbolicity has strong analytic\, algebraic\, and geometric implications.
  The arguments rely on the Euler characteristic formula for planar 2-compl
 exes and on a characterization of Gromov hyperbolic graphs through linear 
 isoperimetric inequalities.
LOCATION:MA12 http://plan.epfl.ch/?room=ma12
STATUS:CONFIRMED
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