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The LIGO detection of gravitational waves emitted by coalescing binary black holes heralded a new era in physics and astrophysics. In this talk, I will first review the theoretical groundwork that allowed to identify and interpret the gravitational-wave signals, and carry out tests of general relativity in the strong-field, highly dynamical regime. I will then highlight the unique science that lies ahead of us with upcoming gravitational-wave observations, and discuss the theoretical challenges in solving the two-body problem in gravity that we need to address if we want to take full advantage of the discovery potential.
W. Lerche/TH-SP........ Tea and coffee will be served at 16h00