Part A: Asymptotic and Large-scale Geometry Zooming in on the Large-scale Geometry of Locally Compact Groups Actions of Quasi-MSbius Groups Quasi-isometric Rigidity of Piecewise Geometric Manifolds Mostow Type Rigidity Theorems Part B: Representation Spaces and Representation Varieties,Homogeneous Spaces, Symmetric Space,Mostow Rigidity Discrete Isometry Groups of Symmetric Spaces Linearization of Algebraic Group Actions Constructing Quotients of Algebraic Varieties by Linear Algebraic Group Actions Reidemeister Torsion, Hyperbolic Three-manifolds, and Character Varieties Diophantine Approximation on Subspaces of Rn and Dynamics on Homogeneous Spaces Actions of Automorphism Groups of Lie Groups Spectral Rigidity of Group Actions on Homogeneous Spaces Part C: Dynamics: Property T, Group Actions on the Circle,Actions on Hilbert Spaces and Other Symmetries Proper Isometric Actions on Hilbert Spaces: a-(T)-menability and Haagerup Property Hyperbolic Abelian Actions and Rigidity Generalizations of Almost Periodic Functions Rigidity and Flexibility of Group Actions on the Circle Index