English

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

Representation Theory 2020-09-30 v1 Number Theory

Abstract

Through combining the work of Jean-Loup Waldspurger (\cite{waldspurger10} and \cite{waldspurgertemperedggp}) and Rapha\"el 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 pp-adic fields.

Keywords

Cite

@article{arxiv.2009.13947,
  title  = {A Local Trace Formula for the Local Gan-Gross-Prasad Conjecture for Special Orthogonal Groups},
  author = {Zhilin Luo},
  journal= {arXiv preprint arXiv:2009.13947},
  year   = {2020}
}

Comments

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