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

Abstract

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.

comments are welcome. arXiv admin note: substantial text overlap with arXiv:1506.01452 by other authors