Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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On Relative Trace Formulae: the Case of Jacquet-Rallis

Pierre-Henri Chaudouard

pp. 391-430

Abstract

We give an account of recent works on Jacquet-Rallis’ approach to the Gan-Gross-Prasad conjecture for unitary groups. We report on the present state of the Jacquet-Rallis relative trace formulae and on some current applications of it. We give also a precise computation of the constant that appears in the statement “Fourier transform and transfer commute up to a constant”.