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SUMMARY:Ian Marshall
DTSTART:20220504T162000Z
DTEND:20220504T180000Z
DTSTAMP:20260423T023052Z
UID:GDEq/64
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/64/">On
  action-angle duality</a>\nby Ian Marshall as part of Geometry of differen
 tial equations seminar\n\nLecture held in room 303 of the Independent Univ
 ersity of Moscow.\n\nAbstract\nAction-angle duality is a property enjoyed 
 by systems of Ruijsenaars type - many body systems\; relativistic analogue
 s of Calogero-Moser-Sutherland systems - whereby families of integrable sy
 stems come in natural pairs: the canonical coordinates of one system are t
 he action-angle variables of the other\, and together they generate the wh
 ole phase space. I will explain this property\, and why it is special. Whe
 n transported to quantum systems\, the action-angle duality property is re
 presented in the form of bispectral operators.\n\nI hope also to describe 
 results obtained with László Fehér in which Hamiltonian reduction is us
 ed to obtain systems in action-angle duality relation with one an other.\n
LOCATION:https://researchseminars.org/talk/GDEq/64/
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