An Isaac Newton Institute Workshop

Painleve Equations and Monodromy Problems: Recent Developments

The Riemann-Hilbert approach to the asymptotics of isomonodromic problems

20th September 2006

Author: M. Y. Mo (University de Montreal)

Abstract

In the Joint work with M. Bertola (math-ph/0605043), we have studied properties of a special type of algebraic curves, which we called admissible Boutrox curves. We have shown that these curves can be used to compute the asymptotics of semi-classical orthogonal polynomials via the `Riemann-Hilbert method'. In this talk I will explain what these admissible Boutroux curves are and how they are related to the `Riemann-Hilbert method'.