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Explore the fascinating intersection of twistor theory and gravitational physics in this lecture by Lionel Mason from the University of Oxford. Delve into the derivation of linear gravity using integral formulae from twistor space and examine the construction of the fully nonlinear self-dual sector of 4D gravity through complex analysis. Focus on global problems in split signature, where the self-dual sector emerges from a Hamiltonian deformation of the real slice of twistor space. Discover how spacetime is reconstructed using holomorphic discs in twistor space, with boundaries on the deformed real slice. Gain insights into advanced concepts in theoretical physics and mathematical approaches to understanding gravity over the course of this 1 hour and 25 minute presentation.
