Bispectral quantum KZ equations and their solutions
Seminar Room 1, Newton Institute
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.