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SUMMARY:Cluster reductions\, mutations and q-Painleve equations
DTSTART:20250214T153000Z
DTEND:20250214T170000Z
DTSTAMP:20260504T095700Z
UID:indico-event-13896@indico.math.cnrs.fr
CONTACT:volodya@univ-angers.fr\;0663168700
DESCRIPTION:Speakers: Andrei Marshakov (Krichever Center\, Skoltech\; IHES
 )\n\nI plan to explain how q-difference Painleve equations arise in the co
 ntext of deautonomization of integrable systems on the Poisson cluster var
 ieties. These include the Goncharov-Kenyon systems\, originating from dime
 r configurations on bipartite graphs on a torus\, as well as their Hamilto
 nian reductions. Equivalent cluster integrable systems are related by muta
 tions in some dual cluster structure\, while the q-Painleve examples corre
 spond exactly to the self-dual cases in this picture. The talk is based on
  joint works with M.Bershtein\, P.Gavrylenko & M.Semenyakin.\n\nhttps://in
 dico.math.cnrs.fr/event/13896/
LOCATION:Salle Pierre Grisvard (IHP - Bâtiment Borel)
URL:https://indico.math.cnrs.fr/event/13896/
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