This series of lectures aims at giving an overview on Anosov representations or Anosov subgroups. It will cover convex-cocompact subgroups of isometries of the hyperbolic spaces, and different characterizations of Anosov subgroups (bounday maps, growth of eigenvalues, etc.), and projective geometric structure associated to Anosov subgroups, and the structural stability of Anosov representations. Suggested bibliography: M. Kapovich, B. Leeb, Discrete isometry groups of symmetric spaces, Spring 2015 MSRI Lecture Notes. Volume IV of Handbook of Group Actions. The ALM series, International Press, Eds. L.Ji, A.Papadopoulos, S-T.Yau. (2018) Chapter 5, p. 191-290. and my survey Olivier GUICHARD — Groupes convexes--cocompacts en rang supérieur [d'après Labourie, Kapovich, Leeb, Porti, ...]

Link