One of the key properties of Anosov representations into any real semisimple Lie group, is that they are structurally stable (i.e. small perturbations of an Anosov representation of a hyperbolic group remain Anosov). In this talk, we will provide examples of stable, quasi-isometrically embedded hyperbolic subgroups of SL(n,C) (n sufficiently large) which fail to be algebraic limits of Anosov representations. This shows that analogues of Sullivan's structural stability theorem and the density theorem of Kleinian groups fails for Anosov representations in higher rank.
---
Pré-séminaire 13h30 par A. Le Boudec.
---
