# Meeting Details

Title: Rank of the fundamental group and geometry of hyperbolic 3-manifolds. Center for Dynamics and Geometry Seminars Juan Souto (U Michigan) We explain some aspects of the relation between the geometry and topology of hyperbolic 3-manifolds and the rank of their fundamental group, i.e. the minimal number of elements needed to generate it. For instance we show that for every $k$ there are only finitely many conmensurability classes of non-compact arithmetic hyperbolic 3-manifolds whose fundamental group has rank $k$. This is a joint work with Ian Biringer.