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SUMMARY:Painlevé and Heun functions from Liouville conformal blocks - Ole
 g Lisovyi (Université François-Rabelais Tours)
DTSTART:20221215T143000Z
DTEND:20221215T153000Z
UID:TALK193277@talks.cam.ac.uk
DESCRIPTION:I will review connections between the problem of construction 
 of linear ordinary differential equations with prescribed monodromy and th
 e 2D conformal field theory. This correspondence leads to a number of conj
 ectures in the theory of Painlev&eacute\; and Heun equations some of which
  have already been proven rigorously and some remain open. The two main ap
 plications I will focus on are the construction of the general solution of
  Painlev&eacute\; VI equation and the computation of accessory parameter a
 nd connection formulas for Heun&rsquo\;s equation in terms of Liouville co
 nformal blocks.
LOCATION:Seminar Room 1\, Newton Institute
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