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UID:20260602T212038EDT-6127BMvusU@132.216.98.100
DTSTAMP:20260603T012038Z
DESCRIPTION:Title:Noncommutative Painlevé equations and systems of Calogero
  type.\n\nAbstract: The Calogero (Moser(Sutherland)) system is an autonomo
 us integrable Hamiltonian system of n particles on the line interacting wi
 th inverse square potential (or Weierstrass-P function). The non-interacti
 ng part is a classically integrable Hamiltonian (e.g. the harmonic oscilla
 tor). The principal goal of the talk is to explain how the integrability s
 urvives if we replace the single-particle Hamiltonian by any of the Hamilt
 onian for the six Painlevé equations\, hence turning the system into a tim
 e-dependent\, interacting dynamics. In this case\, as we would expect\, th
 e isospectral character of the associated Lax system\, is replaced by an i
 somonodromic evolution that linearizes non-commutative versions (i.e. matr
 ix-valued) of the six Painlevé equations. This solves a conjecture posed b
 y T. Takasaki in 2010.\n\n\n\n
DTSTART:20180116T203000Z
DTEND:20180116T213000Z
LOCATION:Room 4336\, CA\, Pav. André-Aisenstadt\, 2920\, ch. de la Tour
SUMMARY:Marco BERTOLA\, Concordia University et CRM
URL:/mathstat/channels/event/marco-bertola-concordia-u
 niversity-et-crm-283822
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