The local twisted Gan-Gross-Prasad conjecture for $\text{GL(V)/U(V)}$

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 $\text{GL(V)/U(V)}$ over nonarchimedean fields for tempered representations.

75 pages, change template, correct minor typos. arXiv admin note: text overlap with arXiv:1506.01452 by other authors