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Rigidity, deformations and limits of maximal representations (II)

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

    JProf. Dr. Maria Beatrice Pozzetti
    Project leader
    Ruprecht-Karls-Universität Heidelberg
    pozzetti(at)mathi.uni-heidelberg.de

    Prof. Dr. Anna Wienhard
    Project leader
    Ruprecht-Karls-Universität Heidelberg
    wienhard(at)mathi.uni-heidelberg.de

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