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Explore an in-depth seminar presentation where Professor Gabriel Lopes Cardoso from Instituto Superior Técnico, Lisboa delves into the fascinating world of integrable systems in gravity through a Riemann-Hilbert approach. Learn about recent advancements in obtaining explicit solutions to non-linear field equations in gravitational theories using the canonical Wiener-Hopf factorisation of monodromy matrices. Discover various factorisation methods for constructing explicit solutions, with practical applications demonstrated through Kasner, Einstein-Rosen wave, and gravitational pulse wave solutions. Delivered as part of the Black holes: bridges between number theory and holographic quantum information event series at the Isaac Newton Institute, this 90-minute technical presentation offers valuable insights into advanced mathematical approaches in gravitational theory.
