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SUMMARY:On the linearity of finitely presented groups and its connection t
 o the existence of good geometric actions - Jack Button (University of Cam
 bridge)
DTSTART:20170113T133000Z
DTEND:20170113T143000Z
UID:TALK69902@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:&nbsp\;The question of whether a finitely generated or present
 ed group is  linear has been looked at in various contexts\, as has the ex
 istence  of well behaved geometric actions of such groups by isometries on
  metric spaces although there is no single universally accepted  definitio
 n of what such a well behaved action should be. <br>  <span>&nbsp\;<br>How
 ever at first sight there appears little connection between  these two con
 cepts\, for instance one might consider some infinite simple groups or Bau
 mslag-Solitar groups to make this point.  In this talk we will first look 
 at such groups to illustrate  known results\, before giving examples and e
 vidence for the  implication "linear implies good behaviour geometrically"
  if  we use the appropriate notion of linearity.&nbsp\;</span>
LOCATION:Seminar Room 1\, Newton Institute
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