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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


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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