BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Cubical-like geometry of graph products - Anthony Genevois (Aix Ma
 rseille Université)
DTSTART:20170110T143000Z
DTEND:20170110T153000Z
UID:TALK69876@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In 1994\, Bandelt\, Mulder and Wilkeit introduced a class of g
 raphs  generalizing the so-called median graphs: the class of quasi-median
   graphs. Since the works of Roller and Chepo&iuml\;\, we know that median
  graphs  and CAT(0) cube complexes essentially define the same objets\, an
 d  because CAT(0) cube complexes play an important role in recent reseach 
  in geometric group theory\, a natural question is whether quasi-median  g
 raphs can be used to study some classes of groups. In our talk\, we will  
 show that quasi-median graphs and CAT(0) cube complexes share  essentially
  the same geometry. Moreover\, extending the observation that  right-angle
 d Artin and Coxeter groups have a Cayley graph which is  median\, arbitrar
 y graph products turn out to have a Cayley graph (with  respect to a natur
 al\, but possibly infinite\, generating set) which is  quasi-median. The m
 ain goal of this talk is to show how to use the  quasi-median geometry of 
 this Cayley graph to study graph products.
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR