Advanced school on quantum spacetime will take place at the Faculty of Physics, University of Warsaw, from September 2 to September 6, 2024. The school will cover some of the most rapidly developing areas connecting quantum field theory with cosmology and gravitational physics: black holes, scattering amplitudes, gravitational waves, cosmological correlators, and celestial holography. The school will consist of five series of lectures, each series will consist of four lectures. The school is intended for graduate students, but advanced undergraduates and postdocs entering these research areas will also profit from pedagogical lectures and discussions.