2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149868In this paper, using Gromov-Jost-Korevaar-Schoen technique of harmonic maps to nonpositively curved targets, we study the representations of the fundamental groups of quasiprojective varieties. As an application of the above considerations we give a proof of a weak version of the Shafarevich Conjecture.50 pages, LaTeXAlgebraic GeometryFactorization theorems for the representations of the fundamental groups of quasiprojective varieties and some applicationstext