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PEM

Seminar

Algebraic solutions of the Painlev\'e equations

Boalch, P (ENS Paris)
Thursday 14 September 2006, 16:30-17:30

Seminar Room 1, Newton Institute

Abstract

I will survey what is known about the algebraic solutions of the Painleve VI equation. This gives an opportunity to see 'in action' lots of the Painleve/isomonodromy technology: Riemann-Hilbert correspondence, nonlinear monodromy actions, affine Weyl group symmetries, quadratic/Landen/folding transformations and precise asymptotic formulae. Moreover I will try to emphasise some of the mysteries and open problems of the subject.

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