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An Isaac Newton Institute Workshop

Painleve Equations and Monodromy Problems: Recent Developments

Rational Surfaces and Discrete Painlev\'e Equations

18th September 2006

Author: SAKAI Hidetaka (University of Tokyo)

Abstract

This is an introductory talk on a connection between rational surfaces and discrete Painlev\'e equations, for non-experts. Contents are as follows:

1.Introduction 2.Translation of discrete Painlev\'e equations into a language of Linear Algebra (Matrix) 3.Translation into a language of affine Weyl group 4.Classification