Factorization theorems for the representations of the fundamental groups of quasiprojective varieties and some applications

Abstract

In 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, LaTeX

Cited by in corpus (2)

• On the classification of rank two representations of quasiprojective fundamental groups
• Harmonic Maps to Buildings and Singular Perturbation Theory