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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Hyperbolic generalized triangle groups\, property 
 (T) and finite simple  quotients - Pierre-Emmanuel
  Caprace (Université Catholique de Louvain )
DTSTART;TZID=Europe/London:20200220T160000
DTEND;TZID=Europe/London:20200220T170000
UID:TALK139633AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/139633
DESCRIPTION:<span>It is a long-standing open problem in Geomet
 ric Group Theory to <br> determine whether all Gro
 mov hyperbolic groups are residually finite. <br> 
 Contributions of Olshanskii imply that\, in order 
 to answer this question <br> in the negative\, it 
 suffices to find a hyperbolic group that does not 
 <br> admit finite simple quotients of arbitrarily 
 large rank. In this talk\, I <br> will report on e
 fforts in identifying explicit candidates of such 
 a <br> hyperbolic group\, and explain a connection
  with Kazhdan&#39\;s property (T). <br> This is pa
 rtly based on an experimental case study on genera
 lized <br> triangle groups\, conducted jointly wit
 h Marston Conder\, Marek Kaluba and <br> Stefan Wi
 tzel.</span><br><br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:INI IT
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