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SUMMARY:Alexandre Krajenbrink (SISSA - Trieste)
DTSTART:20201211T130000Z
DTEND:20201211T140000Z
DTSTAMP:20260423T022716Z
UID:MEGA/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MEGA/10/">Fr
 edholm determinants\, exact solutions to the Kardar-Parisi-Zhang equation 
 and integro-differential Painlevé equations</a>\nby Alexandre Krajenbrink
  (SISSA - Trieste) as part of Séminaire MEGA\n\n\nAbstract\nAs Fredholm d
 eterminants are more and more frequent in the context of stochastic integr
 ability\, I discuss in this talk the existence of a common framework in ma
 ny integrable systems where they appear. This consists in a hierarchy of e
 quations\, akin to the Zakharov-Shabat system\, connecting an integro-diff
 erential extension of the Painlevé II hierarchy\, the finite-time solutio
 ns of the Kardar-Parisi-Zhang equation and multi-critical fermions at fini
 te temperature. The talk is based on the results of the paper arXiv:2008.0
 1509\n
LOCATION:https://researchseminars.org/talk/MEGA/10/
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