Global geometrised Rankin-Selberg method for GL(n)

2001/08/30 by Sergey Lysenko, Lysenko, Sergey
Mathematics · #11R39 #14H60 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:11R39 #msc:14H60

paper · pdf · doi:10.48550/arxiv.math/0108208

38 pages, LaTeX2e

arxiv created 2001/08/30 · arxiv updated 2009/11/30

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 E of rank n on a curve implies the existence of automorphic sheaves corresponding to the universal deformation of E. Then we calculate the `scalar product' of two automorphic sheaves attached to this universal deformation.

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