The local twisted Gan-Gross-Prasad conjecture for GL(V)/U(V)

2025/04/01 by Le, Nhat Hoang
#FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2504.21002

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 GL(V)/U(V) over nonarchimedean fields for tempered representations.

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