Our work will focus on three interrelated directions:

• we will investigate relations between  asymptotic properties of Anosov representations, for example entropy, orbit growth in pseudo-Riemannian symmetric space, and Hausdorff dimension of subsets of the limit sets; 
• we will define new ways to move in the space of maximal representations (via earthquakes, cataclysms or generalized twist flows), and  study  convergence of geomteric quantities along these deformations;
• we will study compactifications of maximal representation as a more combinatorial object and discover the geometry of new higher rank features.