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Explore a 52-minute scientific lecture on the cluster structures of kinematic spaces in particle physics, delivered by Lara Bossinger from IM UNAM, Oaxaca & IAS, Princeton at IHES. Delve into the parametrization methods of kinematic spaces for massless particle scattering, including the spinor helicity formalism and momentum twistor coordinates. Learn how these parametrizations lead to algebraic varieties - the spinor helicity variety and momentum twistor variety - which are isomorphic to partial flag variety quotients and inherit cluster structures. Discover the significance of these cluster structures in amplitude bootstrap and examine embeddings of partial flag varieties into Grassmannian that preserve cluster structure, based on collaborative research with James Drummond, Ross Glew, and Jianrong Li.
