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SUMMARY:Generalized Macdonald-Ruijsenaars systems and Double Affine Hecke 
 Algebras - Silantyev\, A (Glasgow)
DTSTART:20090325T113000Z
DTEND:20090325T123000Z
UID:TALK17537@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The Double Affine Hecke Algebra (DAHA) is defined by a root sy
 stem\, its basis and by some parameters. The Macdonald-Ruijsenaars systems
  are known to be obtained from the polynomial representations of DAHAs. We
  consider submodules in the polynomial representations of DAHAs consisting
  of functions vanishing on special intersections of shifted mirrors. We de
 rive the generalized Macdonald-Ruijsenaars systems by considering the Dunk
 l-Cherednik operators acting in the quotient-modules. In the A_n case this
  recovers Sergeev-Veselov systems\, and the corresponding ideals were stud
 ied by Kasatani. This is a joint work with M. Feigin.
LOCATION:Seminar Room 1 Newton Institute
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