This Tuesday at 5:00, the seminar hosts Darlan Girao of Universidade Federal do Ceara.
Title: Rank gradient of hyperbolic 3-manifolds
Abstract: An important line of research in 3-dimensional topology is the study of the behavior of the rank of the fundamental groups of the finite sheeted covers of an orientable hyperbolic 3-manifold. In this talk I will present some outstanding open problems and recent developments in the area. I will also construct what seems to be the first examples of such manifolds which have co-final towers of finite sheeted covers for which the rank of the fundamental groups grow linearly with the degree of the covers.