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SUMMARY:Geometry of finite quotients of groups - Ana Khukhro (Neuchâtel)
DTSTART:20170223T100000Z
DTEND:20170223T113000Z
UID:TALK71047@talks.cam.ac.uk
CONTACT:Maurice Chiodo
DESCRIPTION:The study of graphs associated to groups has revolutionised gr
 oup theory\, allowing us to use geometric intuition to study algebraic obj
 ects. We will focus here on the case of groups admitting many finite quoti
 ents. Geometric properties of a collection of finite quotients of a group 
 can provide information about the group if the set of finite quotients is 
 sufficiently rich\, and one can exploit the connections between the world 
 of group theory and graph theory to give examples of metric spaces with in
 teresting and often surprising properties. In this talk\, we will describe
  some results in this direction\, and then give recent results concerning 
 the geometric rigidity of finite quotients of a group (joint work with Thi
 ebout Delabie). 
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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