Bispectrality and separation of variables in multiparticle hypergeometric systems
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If you have a question about this talk, please contact Mustapha Amrani.
Discrete Integrable Systems
Hypergeometric functions depending on two sets of parameters are known to possess the property of bispectrality: they satisfy simultaneously to two different systems of differential/difference equation in one set of parameter, the other set playing the role of spectral parameters and vice versa. The examples we discuss include the open Toda lattice, CalogeroSutherland system, KZequation. We shall also review the recent results on the relation of bispectrality to the separation of variables, Baxter’s Qoperator and Givental integral representations.
This talk is part of the Isaac Newton Institute Seminar Series series.
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