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DTSTAMP:20260417T084504Z
DESCRIPTION:Title: Poisson reductions of master integrable systems on doubl
 es of compact Lie groups.\n\nAbstract: We consider three `classical double
 s' of any semisimple\, connected and simply connected compact Lie group G:
  the cotangent bundle\, the Heisenberg double and the internally fused qua
 si-Poisson double. On each double we identify a pair of `master integrable
  systems’ and investigate their Poisson reductions. In the simplest cotang
 ent bundle case\, the reduction is defined by taking quotient by the cotan
 gent lift of the conjugation action of G on itself\, and this naturally ge
 neralizes to the other two doubles. In each case\, we derive explicit form
 ulas for the reduced Poisson structure and equations of motion\, and find 
 that they are associated with well known classical dynamical r-matrices. T
 his yields a unified treatment of a large family of reduced systems\, whic
 h contains new models as well as well familiar spin Sutherland and Ruijsen
 aars--Schneider models. It is shown that the reduced systems restricted on
  generic symplectic leaves of the Poisson quotients are integrable in the 
 degenerate sense. The talk is based on the preprint arXiv:2208.03728 [math
 -ph] and on earlier works cited therein.\n\nCRM-Salle 5340-5380\, Pav. And
 ré Aisenstadt\n
DTSTART:20221213T180000Z
DTEND:20221213T190000Z
SUMMARY:Laszlo Feher\, Wigner RCP\, Budapest and University of Szeged\, Hun
 gary
URL:https://www.mcgill.ca/mathstat/channels/event/laszlo-feher-wigner-rcp-b
 udapest-and-university-szeged-hungary-344265
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