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SUMMARY:Cutpoints of CAT(0) groups - Panos Papasoglu (University of Oxford
 )
DTSTART:20170113T100000Z
DTEND:20170113T110000Z
UID:TALK69900@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:(Joint with Eric Swenson)<br>It is known that if the boundary 
 of a 1-ended hyperbolic group G has a local cut point then G splits over a
  2-ended group. We prove a similar theorem for CAT(0) groups\, namely that
  if a finite set of points separates the boundary of a 1-ended CAT(0) grou
 p G<br>then G splits over a 2-ended group. Along the way we prove two resu
 lts of independent interest: we show that continua separated<br>by finite 
 sets of points admit a tree-like decomposition and we show a splitting the
 orem for nesting actions on R-trees.<br><br>
LOCATION:Seminar Room 1\, Newton Institute
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