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SUMMARY:Quiver mutations\, Coxeter groups\, and hyperbolic manifolds [MPIM
 ]
DTSTART:20241128T140000Z
DTEND:20241128T150000Z
DTSTAMP:20260416T090100Z
UID:indico-event-87@math-events.uni-bonn.de
DESCRIPTION:Speakers: Pavel Tumarkin (University of Durham/MPIM)\n\nMutati
 ons of quivers were introduced by Fomin and Zelevinsky in the context of c
 luster algebras. Since then\, mutations appear (sometimes completely unexp
 ectedly) in various domains of mathematics and physics. Using mutations of
  quivers\, Barot and Marsh constructed a series of presentations of finite
  Coxeter groups as quotients of infinite Coxeter groups. I will discuss a 
 geometric interpretation of this construction: these presentations give ri
 se to a construction of geometric manifolds with large symmetry groups\, i
 n particular to some hyperbolic manifolds of relatively small volume. I wi
 ll also discuss a generalization of the construction of Barot and Marsh le
 ading to a new invariant of marked surfaces\, and relation to extended aff
 ine Weyl groups. The talk is based on joint works with Anna Felikson\, Joh
 n Lawson and Michael Shapiro.\nhttps://www.mpim-bonn.mpg.de/node/13744\n\n
 https://math-events.uni-bonn.de/event/87/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/87/
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