Part I Gravity and Prague -- Kepler and Mach's Principle -- Einstein in Prague: Relativity Then and Now -- Part II Classical General Relativity -- Observers, observables and measurements in general relativity -- Some links between general relativity and other parts of physics -- The General Relativistic Two Body Problem and the Effective One Body Formalism -- Gravitational self-force: orbital mechanics beyond geodesic motion -- Hamiltonian formalism for spinning black holes in general relativity -- Stability of marginally outer trapped surfaces and geometric inequalities -- Stationary black-hole binaries: A non-existence proof -- Dynamic and Thermodynamic Stability of Black Holes and Black Branes -- Instability of anti-de Sitter spacetime -- Higher-dimensional black holes -- Black holes, hidden symmetry and complete integrability: Brief Review -- Part III Cosmology and Quantum Gravity -- Cosmological models and stability -- Inflation and Birth of Cosmological Perturbations -- Loop Quantum Gravity and The Planck Regime of Cosmology -- The inflationary origin of the seeds of cosmic structure: quantum theory and the need for novel physics -- Quantum Gravity: The view from particle physics -- Part IV Numerical Relativity and Relativistic Astrophysics -- Three little pieces for computer and relativity -- Instabilities of Relativistic Stars -- Gravity talks: observing the universe with gravitational waves -- LISA in 2012 and beyond - 20 years after the first proposal -- Einstein's gravity as seen by a cosmic lighthouse keeper -- The astrophysical signatures of black holes: the horizon, the ISCO, the ergosphere and the light circle -- Energy Extraction from Spinning Black Holes via Relativistic Jets.