4 papers
math.NT2024
Nonabelian Fourier Kernels on and
Zhilin Luo, Ngo Bao Chau
For or , we present explicit formulas for the nonabelian Fourier kernels on , as conjectured by A. Braverman and D. Kazhdan. Additionally, we fu…
math.RT2020
A Local Trace Formula for the Local Gan-Gross-Prasad Conjecture for Special Orthogonal Groups
Zhilin Luo
Through combining the work of Jean-Loup Waldspurger (\cite{waldspurger10} and \cite{waldspurgertemperedggp}) and Raphaël Beuzart-Plessis (\cite{beuzart2015local}), we give a proof…
math.RT2020
On the Stable Transfer for Lifting of
Daniel Johnstone, Zhilin Luo
Following the paradigm of \cite{MR3117742}, we are going to explore the stable transfer factors for lifting from to over an…
math.NT2018
On the Braverman-Kazhdan Proposal for Local Factors: Spherical Case
Zhilin Luo
In this paper, we study the Braverman-Kazhdan proposal for the local spherical situation. In the -adic case, we give a definition of the spherical component of conjectural space…