Number Theory Seminar - Ian Whitehead

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November 10, 2014
4:30 pm - 5:30 pm
Math Tower 154

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2014-11-10 16:30:00 2014-11-10 17:30:00 Number Theory Seminar - Ian Whitehead Title: Toward a Casselman-Shalika Formula for Metaplectic Kac-Moody GroupsSpeaker: Ian Whitehead (University of Minnesota)Seminar URL: https://research.math.osu.edu/numbertheory/Abstract: I will construct a Dirichlet series in several variables satisfying an infinite group of functional equations, the Weyl group of an affine Kac-Moody Lie algebra. This series can be understood as a generalization of the Casselman-Shalika formula for Whittaker coefficients of Eisenstein series--in this case, Eisenstein series on a metaplectic cover of a Kac-Moody group. It has applications to moment problems in analytic number theory. Math Tower 154 America/New_York public

Title: Toward a Casselman-Shalika Formula for Metaplectic Kac-Moody Groups

Speaker: Ian Whitehead (University of Minnesota)

Seminar URL: https://research.math.osu.edu/numbertheory/

Abstract: I will construct a Dirichlet series in several variables satisfying an infinite group of functional equations, the Weyl group of an affine Kac-Moody Lie algebra. This series can be understood as a generalization of the Casselman-Shalika formula for Whittaker coefficients of Eisenstein series--in this case, Eisenstein series on a metaplectic cover of a Kac-Moody group. It has applications to moment problems in analytic number theory.

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