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SUMMARY:Extending group actions on metric spaces - Denis Osin (Vanderbilt 
 University)
DTSTART:20170622T150000Z
DTEND:20170622T160000Z
UID:TALK73036@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:I will discuss&nbsp\;the following natural extension problem f
 or group actions: Given a group <i>G</i>\, a subgroup <i>H </i>of&nbsp\;<i
 >G</i>\, and an action of <i>H</i> on a metric space\, when is it possible
  to extend it to an action of the whole group <i>G&nbsp\;</i>on a (possibl
 y different) metric space? When does such an extension preserve interestin
 g properties of the original action of <i>H</i>? We begin by formalizing t
 his problem and present a construction of an induced action which behaves 
 well when <i>H</i> is hyperbolically embedded in <i>G</i>. Moreover\, we s
 how that induced actions can be used to characterize hyperbolically embedd
 ed subgroups.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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