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UID:4061@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20220106T110000
DTEND;TZID=Europe/Paris:20220106T120000
DTSTAMP:20240524T072505Z
URL:https://www.i2m.univ-amu.fr/evenements/hyperbolicity-of-curve-graphs-o
 f-artin-tits-groups-of-type-b-and-tilde-a-2/
SUMMARY: (...): Hyperbolicity of curve graphs of Artin-Tits groups of type 
 B and tilde A
DESCRIPTION:: \n\n\n\n\n\n\n\nThe graph of irreducible parabolic subgroups 
 is a combinatorial object associated to an Artin-Tits group A defined so a
 s to coincide with the curve graph of n-times punctured disc when A is the
  Artin braid group on n-strands. In this case\, it is a hyperbolic graph b
 y the celebrated Masur-Minsky's theorem. Hyperbolicity of the graph of irr
 educible parabolic subgroups for more general Artin-Tits groups is an impo
 rtant question. In this talk we address this question for the groups of ty
 pe B_n and tilde A_n.\nWe show that the graph of irreducible parabolic sub
 groups associated to the Artin-Tits grup of type B_n is isomorphic to the 
 curve graph of the (n+1)-times punctured disc\, hence it is hyperbolic. Fo
 r the type tilde A_n we show that it is (not quasi-isometrically) embedded
  in the curve graph of the (n+2)-times punctured disc\, nonetheless we pro
 ve that it is hyperbolic.\nJoint work with Matthieu Calvez.\n\n\n\n\n\n\n\
 n\n[su_spacer size="10"]\n\n
CATEGORIES:Séminaire,Géométrie et Topologie de Marseille
LOCATION:Saint-Charles - FRUMAM  (2ème étage)\, 3 Place Victor Hugo\, Mar
 seille\, 13003\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3 Place Victor Hugo\, Marse
 ille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=Saint-Charles - FRUMAM  (
 2ème étage):geo:0,0
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