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SUMMARY:Irina Bobrova (National Research University Higher School of Econo
 mics)
DTSTART:20230224T090000Z
DTEND:20230224T103000Z
DTSTAMP:20260423T024758Z
UID:BIMSA-ISS/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BIMSA-ISS/6/
 ">Different approaches for constructing non-abelian Painlevé equations</a
 >\nby Irina Bobrova (National Research University Higher School of Economi
 cs) as part of BIMSA Integrable Systems Seminar\n\n\nAbstract\nThe famous 
 Painlevé equations play a significant role in modern mathematical physics
 . The interest in their non-commutative extensions was motivated by the ne
 eds of modern quantum physics as well as by natural attempts of mathematic
 ians to extend ‘’classical’’ structures to the non-commutative cas
 e.\n\nIn this talk we will consider several approaches that are useful for
  detecting non-commutative analogs of the Painlevé equations. Namely\, th
 e matrix Painlevé-Kovalevskaya test\, integrable non-abelian auxiliary au
 tonomous systems\, and infinite non-commutative Toda equations. All of the
 se methods allow us to find a finite list of non-abelian candidates for su
 ch analogs. To provide their integrability\, one can present an isomonodro
 mic Lax pair.\n\nThis talk is based on a series of papers joint with Vladi
 mir Sokolov and on arXiv:2205.05107 joint with Vladimir Retakh\, Vladimir 
 Rubtsov\, and Georgy Sharygin (publ. in J. Phys. A: Math. Theor.).\n
LOCATION:https://researchseminars.org/talk/BIMSA-ISS/6/
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