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Bispectral quantum KZ equations and their solutions

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If you have a question about this talk, please contact Mustapha Amrani.

Discrete Integrable Systems

I will report on correspondences between bispectral problems for

(1) Ruijsenaars’ q-difference equations, (2) Cherednik’s q-difference reflection equations, and (3) quantum Knizhnik-Zamolodchikov equations.

In addition I will discuss the solutions to these bispectral problems, and their interrelations. An important role in this analysis will be played by Cherednik’s q-analog of the spherical function, which solves the bispectral problem of Ruijsenaars’ q-difference equations.

This talk is partially based on joint work with Michel van Meer.

This talk is part of the Isaac Newton Institute Seminar Series series.

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