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CATEGORIES:Differential Geometry and Topology Seminar
SUMMARY:Detecting splittings of hyperbolic groups - Benjam
in Barrett (Cambridge)
DTSTART;TZID=Europe/London:20180509T160000
DTEND;TZID=Europe/London:20180509T170000
UID:TALK105124AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/105124
DESCRIPTION:When studying a group\, it is often useful to try
to cut it up into simpler pieces. Sometimes this c
an be done in an canonical way analogous to the JS
J decomposition of a 3-manifold\, in which the col
lection of tori along which the manifold is cut is
unique up to isotopy. It is a theorem of Brian Bo
wditch that if the group acts nicely on a metric s
pace with a negative curvature property then a can
onical decomposition can be read directly from the
large-scale geometry of that space. In this talk
I shall describe an algorithmic consequence of thi
s relationship between the large-scale geometry of
the group and is algebraic decomposition.
LOCATION:MR13
CONTACT:Oscar Randal-Williams
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