Seminar Event Detail

Integrable Systems and Random Matrix Theory

Date:  Monday, November 22, 2021
Location:  ZOOM ID: 926 6491 9790 Virtual (4:00 PM to 5:00 PM)

Title:  From Painlevé functions to Heun accessory parameters and back

Abstract:   The reconstruction of linear ODEs from their monodromy leads to two interesting classes of special functions: Heun accessory parameters (for the simplest 2nd order scalar ODEs) and Painlevé functions (for the simplest 1st order 2 by 2 linear systems). I will discuss several approaches to computation of these functions, such as Hill and Widom determinant, continued fractions and combinatorial series. After recalling a classical relation between Heun and Painlevé equations, I will explain how it leads to identities expressing Heun accessory parameters in terms of Painlevé functions and vice versa.

A recording of the talk can be found here .


Speaker:  Oleg Lisovyi
Institution:  Université de Tours

Event Organizer:   Ahmad Barhoumi


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