Can I read On the origins of Riemann-Hilbert problems in mathematics on EtoBox?

On the origins of Riemann-Hilbert problems in mathematics by Bothner, Thomas is a scholarly article available to read on EtoBox.

What is On the origins of Riemann-Hilbert problems in mathematics about?

This article is firstly a historic review of the theory of Riemann-Hilbert problems with particular emphasis placed on their original appearance in the context of Hilbert's 21st problem and Plemelj's work associated with it. The secondary purpose of this note is to invite a new generation of mathematicians to the fascinating world of Riemann-Hilbert techniques and their modern appearances in nonlinear mathematical physics. We set out to achieve this goal with six examples, including a new proof of the integro-differential Painlev\'e-II formula of Amir, Corwin, Quastel \cite{ACQ} that enters in the description of the KPZ crossover distribution. Parts of this text are based on the author's plenary lecture at the $15$th International Symposium on Orthogonal Polynomials, Special Functions and Applications (OPSFA) in Hagenberg, Austria.

Author

Bothner, Thomas

Published

2020

Language

EN