2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77509We show that the Korevaar-Schoen limit of the sequence of equivariant harmonic maps corresponding to a sequence of irreducible $SL_2({\mathbb C})$ representations of the fundamental group of a compact Riemannian manifold is an equivariant harmonic map to an ${\mathbb R}$-tree which is minimal and whose length function is projectively equivalent to the Morgan-Shalen limit of the sequence of representations. We then examine the implications of the existence of a harmonic map when the action on the tree fixes an end.12 pages. Latex. to appear in Math. Res. LettDifferential GeometryGeometric TopologyCharacter varieties and harmonic maps to R-treestext