paper

Global geometrised Rankin-Selberg method for GL(n)

arXiv:math/0108208

Abstract

We propose a geometric interpretation of the classical Rankin-Selberg method for GL(n) in the framework of the geometric Langlands program. We show that the geometric Langlands conjecture for an irreducible unramified local system of rank on a curve implies the existence of automorphic sheaves corresponding to the universal deformation of . Then we calculate the `scalar product' of two automorphic sheaves attached to this universal deformation.

38 pages, LaTeX2e

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