(Pontificia Universidad Católica del Perú, 2022-08-31) Vargas Pallete, Franco
In this paper we are going to develop an unpublished argument of William Thurston that shows the existence of hyperbolic groups with no non-trivial representations to linear groups over any ring, for a given dimension. His approach studies the space of representations of any non-elementary hyperbolic group G to conclude that there is a hyperbolic quotient with such property.