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Explore the cutting-edge field of numerical relativity in effective field theories of gravity through this comprehensive lecture by Aaron Held from Ecole Normale Supérieure. Delve into the era of gravitational-wave astronomy and its implications for understanding the highly dynamical strong-field regime of gravitational interactions. Examine recent advancements in constraining potential deviations from General Relativity, focusing on three key areas: mathematical well-posedness, physical time evolution in the presence of ghosts, and resulting numerical nonlinear waveforms. Gain insights into how these developments contribute to using current and future gravitational-wave observations to constrain effective field theories of gravity. This 1-hour and 24-minute talk, presented at the Dublin Institute for Advanced Studies (DIAS), offers a thorough overview of the subject, suitable for those interested in the intersection of gravitational physics, effective field theories, and observational astronomy.
