Solutions a divers problemes de decision dans un groupe hyperbolique

Propriétés combinatoires du bord d'un groupe hyperbolique

The goal of this survey is to present combinatorial modulus that have been recently used to study quasi-conformal properties of boundaries of hyperbolic groups. First, we will recall well known rigidity results and questions that motivated the introduction of these tools. Then we will define combinatorial modulus and the combinatorial Loewner property that provide new approaches to rigidity questions. Finally, we will describe some applications of these tools through recent results. ----- Le but de ce survol est de présenter les modules combinatoires récemment utilisés pour étudier les proprié…