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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Geometry of finite quotients of groups. - Anastasi
a Khukhro (UniversitÃ© de NeuchÃ¢tel)
DTSTART;TZID=Europe/London:20170223T100000
DTEND;TZID=Europe/London:20170223T120000
UID:TALK71103AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/71103
DESCRIPTION:The study of graphs associated to groups has revol
utionised group theory\, allowing us to use geomet
ric intuition to study algebraic objects. We will
focus here on the case of groups admitting many fi
nite quotients. Geometric properties of a collecti
on of finite quotients of a group can provide info
rmation about the group if the set of finite quoti
ents is sufficiently rich\, and one can exploit th
e connections between the world of group theory an
d graph theory to give examples of metric spaces w
ith interesting and often surprising properties. I
n this talk\, we will describe some results in thi
s direction\, and then give recent results concern
ing the geometric rigidity of finite quotients of
a group. \; (Joint work with Thiebout Delab
ie). \;

LOCATION:Seminar Room 2\, Newton Institute
CONTACT:info@newton.ac.uk
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