, Volume 9, Issue 1, pp 1-68
Date: 05 Feb 2014

Noyaux du transfert automorphe de Langlands et formules de Poisson non linéaires

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Abstract

The main purpose of this paper is to show that some type of explicit nonlinear Poisson formulas, which is implied by Langlands’ functoriality principle, allows to build “kernels” of automorphic transfer. So, Langlands’ functoriality principle is equivalent to these nonlinear Poisson formulas.

Communicated by: Takeshi Saito
This article is based on the 12th Takagi Lectures that the author delivered at the University of Tokyo on May 25 and 26, 2013.