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SUMMARY:Bispectrality and separation of variables in multiparticle hyperge
 ometric systems - Sklyanin\, E (York)
DTSTART:20090326T113000Z
DTEND:20090326T123000Z
UID:TALK17542@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Hypergeometric functions depending on two sets of parameters a
 re known to possess the property of bispectrality: they satisfy simultaneo
 usly to two different systems of differential/difference equation in one s
 et of parameter\, the other set playing the role of spectral parameters an
 d vice versa. The examples we discuss include the open Toda lattice\, Calo
 gero-Sutherland system\, KZ-equation. We shall also review the recent resu
 lts on the relation of bispectrality to the separation of variables\, Baxt
 er's Q-operator and Givental integral representations.
LOCATION:Seminar Room 1 Newton Institute
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