### Bispectral quantum KZ equations and their solutions

Stokman, J *(Universiteit van Amsterdam)*

Thursday 02 July 2009, 09:00-10:00

Seminar Room 1, Newton Institute

#### Abstract

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.

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