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SUMMARY:Anders Karlsson: "Torsion groups of subexponential growth cannot a
ct on finite-dimensional CAT(0)-spaces without a fixed point"
DTSTART:20240611T120000Z
DTEND:20240611T130000Z
DTSTAMP:20240622T133500Z
UID:indico-event-12069@indico.math.cnrs.fr
DESCRIPTION:In a recent paper with H. Izeki\, we show that finitely genera
ted torsion (or simple) groups of subexponential growth must have a global
fixed point whenever they act by isometry on a finite dimensional complet
e CAT(0)-space. Examples include the Grigorchuk groups and certain groups
constructed by Nekrashevych. It is known to be false if the condition of
finite dimension is removed. The method of proof is inspired by previous w
ork by Bourdon and by Izeki. It uses ultralimits of actions\, equivariant
harmonic maps\, subharmonic functions\, horofunctions and random walks.\n\
nhttps://indico.math.cnrs.fr/event/12069/
LOCATION:435 (UMPA)
URL:https://indico.math.cnrs.fr/event/12069/
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