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arXiv:2009.13947 [math.RT]AbstractReferencesReviewsResources

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

Zhilin Luo

Published 2020-09-23Version 1

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 $p$-adic fields.

Comments: comments are welcome. arXiv admin note: substantial text overlap with arXiv:1506.01452 by other authors
Categories: math.RT, math.NT
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