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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Riemann–Hilbert problems and Stokes phenomena

## Riemann–Hilbert problems and Stokes phenomenaAdd to your list(s) Download to your calendar using vCal - Sheehan Olver (Imperial College London)
- Tuesday 27 April 2021, 16:00-17:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. ARA - Applicable resurgent asymptotics: towards a universal theory Riemann–Hilbert problems consist of recovering a piecewise analytic function from information about jumps along branch cuts. To quote Wikipedia (as of today): “Stokes phenomenon, discovered by G. G. Stokes (1847, 1858), is that the asymptotic behaviour of functions can differ in different regions of the complex plane”. We demonstrate how Stokes phenomena can lead naturally to a Riemann–Hilbert problem which in fact uniquely determines the analytic function, beginning, of course, with everyone’s favourite example: the Airy function. We further review the applications to Painlevé equations, and finally show that integrals with coalescing saddles can also be reformulated as a Riemann–Hilbert problem, in a way that, perhaps, avoids the computational pitfalls of applying quadrature directly to integral reformulations along steepest descent contours This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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