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Elliptic Orthogonal Polynomials and Their Integrability

Offered By: Institute for Pure & Applied Mathematics (IPAM) via YouTube

Tags

Mathematical Physics Courses Complex Analysis Courses Elliptic Curves Courses Integrability Courses Painlevé Equations Courses

Course Description

Overview

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Explore a 45-minute conference talk on elliptic orthogonal polynomials and their integrability presented by Harini Desiraju from the Sydney Mathematical Research Institute, University of Sydney. Delve into a generalized framework using Riemann-Hilbert analysis to study these special functions that satisfy orthogonality conditions with respect to a weight function on an elliptic curve. Discover how this approach leads to associated discrete and continuous integrable systems. Examine a demonstration of how the elliptic formulation of the sixth Painlevé equation can be recovered for the simplest weight function. Gain insights into advanced mathematical concepts presented at IPAM's Vertex Models: Algebraic and Probabilistic Aspects of Universality Workshop, recorded on May 23, 2024, at UCLA.

Syllabus

Harini Desiraju - Elliptic orthogonal polynomials and their integrability - IPAM at UCLA


Taught by

Institute for Pure & Applied Mathematics (IPAM)

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