论文标题

特殊正交组的本地gan-gross-prasad猜想的局部痕量公式

A Local Trace Formula for the Local Gan-Gross-Prasad Conjecture for Special Orthogonal Groups

论文作者

Luo, Zhilin

论文摘要

通过结合Jean-loup Waldspurger(\ cite {waldspurger10}和\ cite {waldspurgergertemperedggp})和raphaëlBeuzart-plessis(\ cite {beuzart2015local}) (\ cite {ggporiginal})在任何特征零的本地字段上,特殊的正交组,这已经由Waldspurger超过$ p $ - addic领域证明。

Through combining the work of Jean-Loup Waldspurger (\cite{waldspurger10} and \cite{waldspurgertemperedggp}) and Raphaël Beuzart-Plessis (\cite{beuzart2015local}), we give a proof for the tempered part of the local Gan-Gross-Prasad conjecture (\cite{ggporiginal}) for special orthogonal groups over any local fields of characteristic zero, which was already proved by Waldspurger over $p$-adic fields.

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