works on
braverman-kazhdan program 1gamma factors 1l-monoids 1local langlands correspondence 1non-archimedean local fields 1schwartz spaces 1

From the 1 of 5 linked papers with an AI index.

collaborators

5 papers

math.NT2026

Plancherel and Poisson summation formulae for a family of affine -bundles

Jayce R. Getz, Miao, Miao Pam Gu +2

We prove a Plancherel formula for a family of affine -bundles. As an application, we construct Fourier transforms and asymptotic Schwartz spaces for the family. We then prove th…

math.NT2026

Schwartz spaces on L-monoids: non-Archimedean

Chun-Hsien Hsu, HaoYun Yao

The paper completes the Braverman‑Kazhdan‑Ngô program for non‑Archimedean local fields, assuming the local Langlands conjecture for tempered representations and a condition on γ‑fa…

math.NT2026

Geometrization of summation formulae for quadrics

Chun-Hsien Hsu

We geometrize the Poisson summation formula for the zero locus of a split quadratic form in an even number of variables over number fields. We do so by making explicit the relation…

math.RT2026

Weyl algebras on Braverman-Kazhdan spaces

Chun-Hsien Hsu

Let be a split, simply connected, almost simple algebraic group over a field of characteristic zero, and let be a maximal parabolic subgroup of . We study the ring of di…

math.NT2025

On triple product -functions and the fiber bundle method

Jayce R. Getz, Miao Pam Gu, Chun-Hsien Hsu +1

We introduce multi-variable zeta integrals which unfold to Euler products representing the triple product -function times a product of -functions with known analytic properti…