Aspects of nonlinear differential equations

Abstract: Nonlinear differential equations may have complicated singularities in the complex plane. Painleve equations are nonlinear second order differential equations solutions of which have no movable critical points. They have a lot of nice properties.

In this talk I shall mainly review connection between solutions of the Painlev\'e equations and recurrence coefficients of semi-classical orthogonal polynomials.

complex variablesdynamical systems

Audience: researchers in the topic

CAvid: Complex Analysis video seminar

Series comments: Please e-mail R.Halburd@ucl.ac.uk for the Zoom link. Also, please let me know whether you would like to be added to the mailing list to automatically receive links for future talks in CAvid.