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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Padé approximations on Riemann Surfaces and applications

## Padé approximations on Riemann Surfaces and applicationsAdd to your list(s) Download to your calendar using vCal - Marco Bertola (Concordia University)
- Wednesday 24 August 2022, 15:30-16:30
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact nobody. HYD2 - Dispersive hydrodynamics: mathematics, simulation and experiments, with applications in nonlinear waves I will introduce different notions of (bi)orthogonality for a pairing associated to a measure on a contour in a Riemann surface and show how they are naturally related to suitable Pad ́e approximation problems thus generalizing the ordinary orthogonal polynomials. These objects can be framed in the context of a Riemann—Hilbert problem on Riemann surfaces, i.e. a vector bundle of degree 2g. This formulation is, in fact, of practical applications in at least three contexts: —) application of steepest descent methods, —) construction of matrix orthogonal polynomials, —) constructions of KP/2 Toda tau functions that generalize Krichever’s construction. 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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