Description
The post-Minkowskian expansion of gravitational dynamics provides a rich arena in which quantum field theory and multi-loop integration techniques meet gravitational-wave physics. In this talk, I will survey some of the underpinnings of state-of-the-art calculations of both conservative dynamics and gravitational-wave emission. A central theme will be the mathematical structures and special functions that arise at various orders in Newton's constant. We will also discuss unexpected features, including nontrivial cancellations of special functions and the interplay between the amplitudes-based and multipolar-post-Minkowskian approaches to gravitational radiation.