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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Cubical-like geometry of graph products - Anthony
Genevois (Aix Marseille Université)
DTSTART;TZID=Europe/London:20170110T143000
DTEND;TZID=Europe/London:20170110T153000
UID:TALK69876AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/69876
DESCRIPTION:In 1994\, Bandelt\, Mulder and Wilkeit introduced
a class of graphs generalizing the so-called medi
an graphs: the class of quasi-median graphs. Sinc
e the works of Roller and Chepoï\;\, we know t
hat median graphs and CAT(0) cube complexes essen
tially define the same objets\, and because CAT(0
) cube complexes play an important role in recent
reseach in geometric group theory\, a natural que
stion is whether quasi-median graphs can be used
to study some classes of groups. In our talk\, we
will show that quasi-median graphs and CAT(0) cub
e complexes share essentially the same geometry.
Moreover\, extending the observation that right-a
ngled Artin and Coxeter groups have a Cayley graph
which is median\, arbitrary graph products turn
out to have a Cayley graph (with respect to a nat
ural\, but possibly infinite\, generating set) whi
ch is quasi-median. The main 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
CONTACT:INI IT
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