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SUMMARY:The solutions of Painlevé equations in terms of Fredholm determin
 ants and consequences. - Harini  Desiraju (University of Sydney)
DTSTART:20221018T140000Z
DTEND:20221018T160000Z
UID:TALK184859@talks.cam.ac.uk
DESCRIPTION:Painlev&eacute\; equations can be expressed as a system of dif
 ferential equations called the Lax pair. In this talk\, I will present a c
 onstruction of Fredholm determinants using the Lax matrices and show that 
 they are related to the solutions of Painlev&eacute\; equations. Such a co
 nstruction also proves useful to study the asymptotics of the solutions at
  critical points.
LOCATION:Seminar Room 2\, Newton Institute
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