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The Riemann-Hilbert approach to the asymptotics of isomonodromic problems

Presented by: 
MY Mo [Montreal]
Date: 
Thursday 21st September 2006 - 14:00 to 14:30
Venue: 
INI Seminar Room 1
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'.

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