In the second lecture introduce a space of « Anosov representations » of a surface group into the group of diffeomorphisms of the circle, which can be viewed (to some extent) as an infinite dimensional space of maximal representations. We construct a map from this space to the space of reparametrizations and explain how to (almost) construct an inverse map, following Margulis’s construction of the invariant measure of maximal entropy. Speaker(s): Nicolas Tholozan (ENS)