The solutions of Painlevé equations in terms of Fredholm determinants and consequences.
- 👤 Speaker: Harini Desiraju (University of Sydney)
- 📅 Date & Time: Tuesday 18 October 2022, 15:00 - 17:00
- 📍 Venue: Seminar Room 2, Newton Institute
Abstract
Painlevé equations can be expressed as a system of differential equations called the Lax pair. In this talk, I will present a construction of Fredholm determinants using the Lax matrices and show that they are related to the solutions of Painlevé equations. Such a construction also proves useful to study the asymptotics of the solutions at critical points.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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Harini Desiraju (University of Sydney)
Tuesday 18 October 2022, 15:00-17:00