XXXV Workshop on Geometric Methods in Physics 26.06-2.07.2016

Plamen Iliev

A quantum integrable system on the sphere and bispectrality

I will discuss hypergeometric functions in several variables orthogonal with respect to the multivariate beta distribution within the context of the Lie algebra $\mathfrak{t}_{d+1}$. This interpretation naturally leads to the construction of bispectral commutative algebras of partial difference operators related to a quantum (super)integrable system on the sphere.

Event sponsored by:
National Science Foundation          Belgian Science Policy Office          University of Bialystok

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