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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Pure Maths Colloquium: The Riemann-Hilbert method

Presented by "Alexander Its (Hardy lecturer 2002, IUPUI, Indianapolis, USA)",

22 May 2002 00:00 in CM221

" In this talk a general overview of the Riemann-Hilbert method, which was originated in 1970s-1980s in the theory of integrable
nonlinear PDEs of the KdV type, will be given. The method is based on the reduction of a given problem to the holomorphic
factorization of matrix valued functions, and it can be thought of as a non-commutative analog of the method of contour integral
representations. It is quite remarkable that during the last decade the Riemann-Hilbert method has gradually become a universal
analytic apparatus for studing problems from many areas of modern mathematics which have never been considered before as
``integrable systems''. In the talk the most recent applications of the Riemann-Hilbert approach to asymptotic problems arising
in the theory of matrix models, combinatorics and integrable statistical mechanics will be outlined."

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