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SUMMARY:Towards non-Abelian Painlevé equations
DTSTART:20231027T120000Z
DTEND:20231027T130000Z
DTSTAMP:20241006T192900Z
UID:indico-event-10564@indico.math.cnrs.fr
DESCRIPTION:Speakers: Irina Bobrova\n\nThe differential Painlevé equation
s define the most general special functions (the Painlevé transcendents)
and play an important role in modern mathematical physics. Regarding their
applications in integrable systems\, it turns out that the Painlevé equa
tions can be obtained as reduced ODEs of some integrable PDEs. In recent
years\, quantum or\, more generally\, non-abelian extensions of various in
tegrable systems have acquired considerable attention. It was motivated by
problematics and needs of modern quantum physics\, as well as by natural
attempts of mathematicians to extend and to generalize the ``classical'' i
ntegrable structures and systems. The Painlevé transcendents provide a go
od example of this phenomena\, which we will look at in this talk.\n\nhttp
s://indico.math.cnrs.fr/event/10564/
LOCATION:Fokko du Cloux (Bâtiment Braconnier)
URL:https://indico.math.cnrs.fr/event/10564/
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