Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only! Grab it Explore the intricacies of infrared finite scattering theory in quantum field theory and quantum gravity through this 56-minute conference talk by Gautam Satishchandran. Delve into the long-standing problem of constructing an IR-finite S-matrix and its connection to the gravitational memory effect. Examine the Faddeev-Kulish approach for massive QED and its limitations in massless QED, Yang-Mills theories, and quantum gravity. Investigate the challenges in formulating scattering theory without a preferred Hilbert space and learn about a proposed framework for a manifestly IR-finite scattering theory. Gain insights into topics such as dressed states, angular momentum, and inclusive cross-sections as part of the Thematic Programme on "Spectral Theory and Mathematical Relativity" held at the Erwin Schrödinger International Institute for Mathematics and Physics.