|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 firstname.lastname@example.org