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SUMMARY:An analogue of the curve complex for Garside groups - Bertold Wies
 t (Université de Rennes 1)
DTSTART:20180516T150000Z
DTEND:20180516T160000Z
UID:TALK103372@talks.cam.ac.uk
CONTACT:Oscar Randal-Williams
DESCRIPTION:Garside groups are a family of groups with particularly nice a
 lgorithmic properties\, containing in particular all Artin groups of spher
 ical type\; the most famous examples are the braid groups. In this talk I 
 will present a simple construction which associates to every Garside group
  a locally infinite\, delta-hyperbolic graph on which the group acts\; we 
 call it the "additional length complex" of the group. I will show that the
 se 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 to the curve complex of the n-times punctured disk. Our
  construction has the potential to be adapted to many other contexts. (Joi
 nt with Matthieu Calvez.)
LOCATION:MR13
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