Thesis Defenses Seminar
Thursday, March 23, 2023, 8:30am, 359 Gross Hall
Miao (Pam) Gu (Duke University, Mathematics)
Automorphic-twisted summation formulae for pairs of quadratic spaces
Abstract:- Conjectures of Braverman-Kazhdan, L. Lafforgue, Ngô and Sakellaridis
imply that all affine spherical varieties admit generalized Poisson
summation formula. In this dissertation we establish a generalized Poisson
summation formula for certain spaces of test functions on the zero locus of
a quadratic form. The functions are built from the Whittaker coefficients of
automorphic representations on $\mathrm{GL}_n$. We also give an expression of the
local factors where all the data are unramified.
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