Integrability, Hypergeometric Functions and Bispectrality

par Plamen Iliev (Georgia Institute of Technology)

vendredi 5 juin 2026, 15:30 → 17:00 Europe/Paris

Amphithéâtre Léon Motchane (IHES)

Séminaire d'Analyse

The bispectral problem concerns the construction and the classification of operators possessing a symmetry between the space and spectral variables. Different versions of this problem have interesting connections to several areas of mathematics such as integrable systems, algebraic geometry, representation theory, classical orthogonal polynomials, etc. I will review the problem and some of these connections, and then discuss recent results related to quantum integrable systems and hypergeometric functions associated with several classical multivariate distributions.

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