
November 10, 2014
4:30 pm
-
5:30 pm
Math Tower 154
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2014-11-10 17:30:00
2014-11-10 18:30:00
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
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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.