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CATEGORIES:Geometric Group Theory (GGT) Seminar
SUMMARY:Quasi-isometric rigidity of graphs of free groups
with cyclic edge groups - Daniel Woodhouse (Univer
sity of Oxford)
DTSTART;TZID=Europe/London:20201016T134500
DTEND;TZID=Europe/London:20201016T144500
UID:TALK152821AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/152821
DESCRIPTION:Let F be a finitely rank free group. Let w_1 and w
_2 be suitable random/generic elements in F. Consi
der the HNN extension G generated by F and a stabl
e letter t\, with relation t w_1 t^{-1} = w_2 . It
is known from existing results that G will be 1-e
nded and hyperbolic. We have shown that G is quasi
-isometrically rigid. That is to say that if a f.g
. group H is quasi-isometric to G\, then G and H a
re virtually isomorphic. The full result is for fi
nite graphs of groups with virtually free vertex g
roups and two-ended edge groups\, but the statemen
t is more technical -- not all such groups are QI-
rigid. The main argument involves applying a new p
roof of Leighton's graph covering theorem.\n\nThis
is joint work with Sam Shepherd.
LOCATION:Zoom: https://maths-cam-ac-uk.zoom.us/j/9163658322
2
CONTACT:
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