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CATEGORIES:Differential Geometry and Topology Seminar
SUMMARY:An analogue of the curve complex for Garside group
s - Bertold Wiest (Université de Rennes 1)
DTSTART;TZID=Europe/London:20180516T160000
DTEND;TZID=Europe/London:20180516T170000
UID:TALK103372AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/103372
DESCRIPTION:Garside groups are a family of groups with particu
larly nice algorithmic properties\, containing in
particular all Artin groups of spherical type\; th
e most famous examples are the braid groups. In th
is talk I will present a simple construction which
associates to every Garside group a locally infin
ite\, delta-hyperbolic graph on which the group ac
ts\; we call it the "additional length complex" of
the group. I will show that these complexes share
important features with the curve complexes - in
fact\, the additional length complex of the braid
group $B_n$ is conjectured to be quasi-isometric t
o the curve complex of the n-times punctured disk.
Our construction has the potential to be adapted
to many other contexts. (Joint with Matthieu Calve
z.)
LOCATION:MR13
CONTACT:Oscar Randal-Williams
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