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Explore the mathematical foundations of gravitational scattering theory in this advanced physics lecture that examines infrared divergences and their connection to Bondi-Metzner-Sachs (BMS) group representations. Delve into the theoretical framework that describes how gravitational interactions behave at large distances and low energies, focusing on the mathematical structures that emerge when analyzing scattering processes in general relativity. Learn about the BMS group, which captures the asymptotic symmetries of spacetime at null infinity, and understand how these symmetries relate to the infrared behavior of gravitational scattering amplitudes. Investigate the technical aspects of how divergences arise in gravitational calculations and discover the mathematical tools used to handle these infinities through the lens of representation theory. Gain insights into cutting-edge research in theoretical physics that bridges quantum field theory, general relativity, and group theory to understand fundamental aspects of gravitational interactions.
