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CATEGORIES:Geometric Group Theory (GGT) Seminar
SUMMARY:Coxeter groups\, quiver mutations and hyperbolic m
anifolds - Anna Felikson (Durham)
DTSTART;TZID=Europe/London:20190208T134500
DTEND;TZID=Europe/London:20190208T144500
UID:TALK118375AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/118375
DESCRIPTION:Mutations of quivers were introduced by Fomin and
Zelevinsky in the beginning of 2000's in the conte
xt of cluster algebras. Since then\, mutations app
ear (sometimes completely unexpectedly) in various
domains of mathematics and physics. Using mutatio
ns of quivers\, Barot and Marsh constructed a seri
es of presentations of finite Coxeter groups as qu
otients of infinite Coxeter groups. We will discus
s a generalization of this construction leading to
a new invariant of bordered marked surfaces\, and
a geometric interpretation: it occurs that presen
tations constructed by Barot and Marsh give rise t
o a construction of geometric manifolds with large
symmetry groups\, in particular to some hyperboli
c manifolds of small volume with proper actions of
Coxeter groups. This work is joint with Pavel Tum
arkin.
LOCATION:CMS\, MR13
CONTACT:Richard Webb
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