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.
Publications
Team Members
Prof. Dr. Maria Beatrice Pozzetti
Project leader
Università di Bologna
beatrice.pozzetti(at)unibo.it
PhD Alexander Thomas
Researcher
Ruprecht-Karls-Universität Heidelberg
athomas(at)mathi.uni-heidelberg.de
Prof. Dr. Anna Wienhard
Project leader
Max Planck Institute for Mathematics in the Sciences
Anna.Wienhard(at)mis.mpg.de