Difference spherical and Whittaker functions
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If you have a question about this talk, please contact Mustapha Amrani.
Algebraic Lie Theory
The definition of q,tspherical functions was sugested by the speaker (reduced root systems) and Stokman (the CcheckC case). They generalize the classical spherical functions, the basic hypergeometric function and the padic spherical functions. Recently, their systematic algebraic and analytic theory was started including qgeneralizations of the HarishChandra asymtotic formula and the HelgasonJohnson description of bounded spherical functions, as well as the theory of the qWhittaker functions. The latter are related to the GiventalLee theory, the ICtheory of the affine flag varieties and are expected to have connections with the quantum geometric Langlands program.
This talk is part of the Isaac Newton Institute Seminar Series series.
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