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Explore advanced concepts in theoretical physics with this lecture on twistor theory and gravitational scattering. Delve into the complex geometry of twistor space to derive a compact twistor formula for the full tree-level gravitational S-matrix beyond the self-dual sector. Learn how integrations are saturated against delta functions, resulting in a sum of residues dependent on the n momenta and polarization vectors of associated gravity linear waves. This 1 hour 25 minute presentation by Lionel Mason from the University of Oxford, hosted by the Institut des Hautes Etudes Scientifiques (IHES), builds upon the previous lecture in the series to provide a comprehensive understanding of the relationship between twistors and gravitational scattering.