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Painleve Equations and Monodromy Problems: An Introduction

11th September 2006 to 15th September 2006

Organisers: Philip Boalch (ENS Paris), Peter Clarkson (Kent), Lionel Mason (Oxford), Yousuke Ohyama (Osaka).

Partially supported by the European Community through the FP6 Marie Curie RTN ENIGMA (Contract number MRTN-CT-2004-5652)

Workshop Theme

This workshop will give an introduction to Painlevé equations and monodromy problems suitable for postgraduate students and postdoctoral researchers. Topics to be covered include: History of the Painlevé Equations; Application of the Painlevé equations to Mathematical Physics; Differential Galois theory and the Painlevé equations; Discrete Painlevé equations; Asymptotics expansions for the Painlevé equations; Connection formulae and Riemann-Hilbert problems for Painlevé equations; Algebraic and rational solutions of the Painlevé equations; Random matrix and the Painlevé equations.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons