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SUMMARY:Coxeter groups\, quiver mutations and hyperbolic manifolds - Anna 
 Felikson (Durham)
DTSTART:20190208T134500Z
DTEND:20190208T144500Z
UID:TALK118375@talks.cam.ac.uk
CONTACT:Richard Webb
DESCRIPTION:Mutations of quivers were introduced by Fomin and Zelevinsky i
 n the beginning of 2000's in the context of cluster algebras. Since then\,
  mutations appear (sometimes completely unexpectedly) in various domains o
 f mathematics and physics. Using mutations of quivers\, Barot and Marsh co
 nstructed a series of presentations of finite Coxeter groups as quotients 
 of infinite Coxeter groups. We will discuss a generalization of this const
 ruction leading to a new invariant of bordered marked surfaces\, and a geo
 metric interpretation: it occurs that presentations constructed by Barot a
 nd Marsh give rise to a construction of geometric manifolds with large sym
 metry groups\, in particular to some hyperbolic manifolds of small volume 
 with proper actions of Coxeter groups. This work is joint with Pavel Tumar
 kin.
LOCATION:CMS\, MR13
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