Quasi isometry rigidity of groups

Quasi-isometry rigidity of groups Cornelia DRUT¸U Universite de Lille I, Contents 1 Preliminaries on quasi-isometries 2 1.1 Basic definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 Examples of quasi-isometries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2 Rigidity of non-uniform rank one lattices 6 2.1 Theorems of Richard Schwartz . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.2 Finite volume real hyperbolic manifolds . . . . . . . . . . . . . . . . . . . . . . . 8 2.3 Proof of Theorem 2.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.4 Proof of Theorem 2.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

• now all


• group


• any word


• symmetric space


• simplicial trees


• regular simplicial


• compact riemannian


• relatively hyperbolic