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SUMMARY:Deformations and integrability of cluster maps
DTSTART;VALUE=DATE-TIME:20230619T130000Z
DTEND;VALUE=DATE-TIME:20230619T133000Z
DTSTAMP;VALUE=DATE-TIME:20260926T211729Z
UID:indico-contribution-48@cern.ch
DESCRIPTION:Speakers: Dr. KOULOUKAS\, Theodoros (University of Lincoln)\nW
 e present parametric deformations of sequences of cluster mutations in the
  framework of cluster algebras\, which destroy the Laurent property but pr
 eserve a presymplectic structure induced by the corresponding exchange mat
 rix. We investigate the Liouville integrability of deformed parametric clu
 ster maps associated with the A3 and A4  quivers by imposing suitable cons
 traints on the parameters. We also study examples of more general types of
  deformed mutations associated with affine Dynkin quivers which correspond
  to periodic reductions of the discrete sine-Gordon equation.\n\nhttp://in
 dico.fuw.edu.pl/contributionDisplay.py?contribId=48&sessionId=13&confId=67
LOCATION:Faculty of Physics\, University of Warsaw Lecture hall: 0.06
URL:http://indico.fuw.edu.pl/contributionDisplay.py?contribId=48&sessionId
 =13&confId=67
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