The local Miyawaki liftings and the Gan-Gross-Prasad conjecture (Representation theory and various problems in algebra, analysis, and geometry)

Abstract

The Gan−Gross−Prasad conjecture for the Fourier-Jacobi case is a local analogous problem for the Fourier-Jacobi expansion and the theta expansion of modular forms. The Miyawaki lifting, which was constructed by Ikeda, is a lifting similar to the theta lifting. In this talk, using local Miyawaki liftings, we give a new example of the Gan−Gross−Prasad conjecture for a non-generic case.