Orateur
Nicolas Tholozan
(ENS Paris)
Description
Certain families of discrete and faithful representations of a surface group satisfy geometric properties similar to those of Fuchsian representations. For instance, so called Hitchin and maximal representations satisfy an analog of the collar lemma for hyperbolic surfaces. They differ in that aspect from quasi-Fuchsian representations into $\mathrm{SL}(2,\mathbb{C})$.
In this talk I will give an overview of these representations and present various ways of proving such geometric properties.
