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CATEGORIES:Differential Geometry and Topology Seminar
SUMMARY:Jordan property for diffeomorphism groups - Ignasi
Mundet i Riera\, Barcelona
DTSTART;TZID=Europe/London:20190206T160000
DTEND;TZID=Europe/London:20190206T170000
UID:TALK115252AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/115252
DESCRIPTION:A group G is Jordan if there exists a constant C s
uch that\nany finite subgroup of G has an abelian
subgroup of index at most C.\nFor example\, GL(n\,
R) is Jordan for every n. Some 30 years ago E. Ghy
s\nasked whether diffeomorphism groups of closed m
anifolds are Jordan.\nA number of papers have been
written on this question in the past few \nyears.
It is known that there are lots of manifolds whos
e\ndiffeomorphism group is Jordan\, and also lots
of manifolds for which\nit is not. However\, Ghys'
s question is far from being completely\nunderstoo
d\, and many basic and interesting problems relate
d to it\nremain open.\n\nIn this talk I will surve
y the recent developments and some of the \nopen q
uestions about Jordan property for diffeomorphism
groups.
LOCATION:MR13
CONTACT:Ivan Smith
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