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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Difference spherical and Whittaker functions - Che
rednik\, I (UNC Chapel Hill and RIMS)
DTSTART;TZID=Europe/London:20090625T153000
DTEND;TZID=Europe/London:20090625T163000
UID:TALK18867AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/18867
DESCRIPTION:The definition of q\,t-spherical functions was sug
ested by the speaker (reduced root systems) and St
okman (the C-check-C case). They generalize the cl
assical spherical functions\, the basic hypergeome
tric function and the p-adic spherical functions.
Recently\, their systematic algebraic and analytic
theory was started including q-generalizations of
the Harish-Chandra asymtotic formula and the Helg
ason-Johnson description of bounded spherical func
tions\, as well as the theory of the q-Whittaker f
unctions. The latter are related to the Givental-L
ee theory\, the IC-theory of the affine flag varie
ties and are expected to have connections with the
quantum geometric Langlands program. \n\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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