An isoperimetric interpretation for the renormalized volume of quasi-Fuchsian 3- manifolds

In this talk we will discuss an important class of hyperbolic 3-manifolds known as quasi-Fuchsian and the notion of renormalized volume in these spaces. We will address some aspects of the isoperimetric problem in these manifolds and present a characterization of the renormalized volume in terms of isoperimetric data at infinity.