Modular forms, Bianchi groups, torsion growth, and exploring the Bergeron-Venkatesh conjecture

Abstract

We discuss several aspects of Bianchi groups, particularly from a computational point of view, in an attempt to gain acumen around the Bergeron-Venkatesh conjecture. To get there, we come across a variety of concepts and problems from the fields of modular forms, group theory and hyperbolic geometry.