The local twisted Gan-Gross-Prasad conjecture for $\text{GL(V)/U(V)}$
Representation Theory
2025-06-05 v2 Number Theory
Abstract
In this paper, following the method developed by J.-L. Waldspurger and R. Beuzart-Plessis for Bessel models, we study two local relative trace formulas for the local twisted Gan-Gross-Prasad conjecture. By obtaining spectral expansions and a partial geometric comparision between the two formulas, we prove the local twisted Gan-Gross-Prasad conjecture for over nonarchimedean fields for tempered representations.
Keywords
Cite
@article{arxiv.2504.21002,
title = {The local twisted Gan-Gross-Prasad conjecture for $\text{GL(V)/U(V)}$},
author = {Nhat Hoang Le},
journal= {arXiv preprint arXiv:2504.21002},
year = {2025}
}
Comments
75 pages, change template, correct minor typos. arXiv admin note: text overlap with arXiv:1506.01452 by other authors