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SUMMARY:Bernhard Keller (Paris Cité University\, France)
DTSTART:20250331T150000Z
DTEND:20250331T160000Z
DTSTAMP:20260423T052545Z
UID:ENAAS/116
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/116/">
 From Coxeter-Conway friezes to cluster algebras</a>\nby Bernhard Keller (P
 aris Cité University\, France) as part of European Non-Associative Algebr
 a Seminar\n\n\nAbstract\nSince their invention by Fomin-Zelevinsky in 2002
 \, cluster algebras have shown up in an ever growing array of subjects in 
 mathematics (and in physics). In this talk\, we will approach their theory
  starting from elementary examples. More precisely\, we will see how the r
 emarkable integrality properties of the Coxeter-Conway friezes and the Som
 os sequence find a beautiful unification and generalization in Fomin-Zelev
 insky's definition of cluster variables and their Laurent phenomenon theor
 em. Motivated by the periodicity of Coxeter-Conway friezes\, we will concl
 ude with a general periodicity theorem\, whose proof is based on the inter
 action between discrete dynamical systems and quiver representations throu
 gh the combinatorial framework of cluster algebras.\n
LOCATION:https://researchseminars.org/talk/ENAAS/116/
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