Global geometrised Rankin-Selberg method for GL(n)
Algebraic Geometry
2007-05-23 v1
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.
Cite
@article{arxiv.math/0108208,
title = {Global geometrised Rankin-Selberg method for GL(n)},
author = {Sergey Lysenko},
journal= {arXiv preprint arXiv:math/0108208},
year = {2007}
}
Comments
38 pages, LaTeX2e