A Riemann-Hilbert approach to q-discrete Painlevé equations

Jun 28, 2021, 10:20 AM
40m
Chair: Paolo Lorenzoni

Chair: Paolo Lorenzoni

Speaker

Prof. Nalini Joshi (University of Sidney)

Description

The Riemann-Hilbert method provides a powerful framework for describing solutions of the classical Painlevé equations and semi-classical families of orthogonal polynomials. In this talk, I will give an overview and describe some recent results that show how to extend the framework to describe solutions of q-discrete Painlevé equations and q-orthogonal polynomials. (This is based on collaborative work with Tom Lasic Latimer and Pieter Roffelsen; see arXiv:1911.05854 and arXiv:2106.01042.)

Primary author

Prof. Nalini Joshi (University of Sidney)

Presentation materials