特殊正交群局部Gan-Gross-Prasad猜想的局部迹公式
表示论
2020-09-30 v1 数论
摘要
通过结合Jean-Loup Waldspurger(\cite{waldspurger10}与\cite{waldspurgertemperedggp})以及Raphaël Beuzart-Plessis(\cite{beuzart2015local})的工作,我们对任意特征零局部域上特殊正交群的局部Gan-Gross-Prasad猜想(\cite{ggporiginal})的tempered部分给出了证明,该部分此前已由Waldspurger在-进域上证明。
引用
@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}
}
备注
comments are welcome. arXiv admin note: substantial text overlap with arXiv:1506.01452 by other authors