A relative trace identity between GL2n and Sp̃n

Abstract

We prove a relative trace identity between ${\mathrm{GL}}_{2n}$ and ${\widetilde{\mathrm{S}\mathrm{p}}}_n$, using Ginzburg, Rallis, and Soudry's work on automorphic descent. This should serve as a model on using automorphic descent to establish a relative trace identity