Explore gravitational waveforms for compact binaries in this 49-minute lecture by Jan Steinhoff from the Albert Einstein Institute. Delve into the groundbreaking field of gravitational wave detection and its impact on physics, from field theory to cosmology. Examine the precision modeling required for interpreting strong gravitational-wave events and searching for new physics. Cover key topics including time and frequency domain analysis, waveform models, Hamiltonians, and the post-Newtonian approximation. Gain insights into the challenges facing next-generation gravitational-wave experiments and the promising tools emerging from classical and quantum field theory. Conclude with a look at future developments in this rapidly evolving area of research.