Japan. J. Math. 9, 1--68 (2014)

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

L. Lafforgue

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.