Automorphic-twisted summation formulae for pairs of quadratic spaces
| dc.contributor.advisor | Getz, Jayce R | |
| dc.contributor.author | Gu, Miao (Pam) | |
| dc.date.accessioned | 2023-06-08T18:21:05Z | |
| dc.date.available | 2023-06-08T18:21:05Z | |
| dc.date.issued | 2023 | |
| dc.department | Mathematics | |
| dc.description.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 GL_n. We also give an expression of the local factors where all the data is unramified. | |
| dc.identifier.uri | ||
| dc.subject | Mathematics | |
| dc.subject | Eisenstein series | |
| dc.subject | Poisson summation conjecture | |
| dc.subject | theta series | |
| dc.title | Automorphic-twisted summation formulae for pairs of quadratic spaces | |
| dc.type | Dissertation |