Event № 123
The goal of these two talks is to explain a result concerning the quasiconformal properties of the boundary of right-angled hyperbolic buildings.
In this first talk I will recall classical questions, conjectures and results that link the quasiconformal structure of the boundary of a hyperbolic space to rigidity phenomenon inside the space. Some basic tools of this theory, such as the conformal dimension, the Loewner property and the Combinatorial Loewner Property (CLP), will be introduced and explained.
Throughout both talks I will insist on some geometric ideas and examples in order to avoid technicality.