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Asymptotic analysis of Riemann--Hilbert problems, d-bar problems, and a few applications

Mathematical Physics & Probability

Speaker: Ken McLaughlin, University of Arizona
Location: 1147 MSB
Start time: Wed, May 21 2008, 4:10PM

First I'll define all the terms in the title. Then I'll discuss two applications: integrable nonlinear partial differential equations, and orthogonal polynomials / random matrix theory. Then there will be a digestible discussion (bring forks!) regarding asymptotic analysis of hybrid Riemann-Hilbert-d-bar problems. If all goes well there'll be time remaining to see the machinery in action on one of the applications: either the asymptotic behavior of a nonlinear pde, or the asymptotic behavior of orthogonal polynomials and eigenvalue statistics of random matrices.