Thomas Kriecherbauer

Korteweg-de Vries, Painlevé, and Riemann-Hilbert

Over the past 30 years it has been amply demonstrated that Riemann-Hilbert problems can be used to efficiently derive and rigorously prove asymptotic results in various fields such as integrable systems, random matrix theory, and statistical mechanics. In this talk we focus on two classical examples from nonlinear differential equations named after Korteweg-de Vries and Painlevé, respectively. We explain how they can be related to Riemann-Hilbert problems and why this is useful for their asymptotic analysis as well as for understanding the relations between their solutions.

Talk recording: https://mediasite.bris.ac.uk/Mediasite/Play/316cf50ff3fa4f3fa377c4d4df8c212f1d