2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62108We 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.38 pages, LaTeX2eAlgebraic Geometry11R39; 14H60text