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SUMMARY:Monster groups acting on CAT(0) spaces - Rémi Coulon (Université
  de Rennes 1\; CNRS (Centre national de la recherche scientifique))
DTSTART:20170216T100000Z
DTEND:20170216T120000Z
UID:TALK71056@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Since the beginning of the 20th century\, infinite torsion gro
 ups have been the source of numerous developments in group theory: Burnsid
 e groups Tarski monsters\, Grigorchuck groups\, etc. From a geometric poin
 t of view\, one would like to understand on which metric spaces such group
 s may act in a non degenerated way (e.g. without a global fixed point).  &
 nbsp\;  In this talk we will focus on CAT(0) spaces and present two exampl
 es with rather curious properties. The first one is a non-amenable finitel
 y generated torsion group acting properly on a CAT(0) cube complex. The se
 cond one is a non-abelian finitely generated Tarski-like monster :   every
  finitely generated subgroup is either finite or has finite index.   In ad
 dition this group is residually finite and does not have Kazdhan property 
 (T).  &nbsp\;  (Joint work with Vincent Guirardel)  <br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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