Regularized Periods and the global Gan-Gross-Prasad conjecture : The case of U(n+2r) × U(n)

2020/02/18 by Haan, Jaeho
#FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2002.07773

Abstract

In this paper, we introduce regularized trilinear periods on certain non-reductive groups. It has two direct applications. Firstly, it enables us to define the regularized Bessel periods and the regularized Fourier-Jacobi periods for all classical and metaplectic groups. Secondly, by using the properties of the regularized Fourier-Jacobi periods, we can prove one direction of the full Gan-Gross-Prasad conjecture on skew-hermitian unitary groups.

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