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Explore the mathematical foundations of kinematic varieties through the lens of massless particles in this comprehensive lecture delivered at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the intricate relationship between amplitudes and algebraic geometry as part of a specialized thematic programme examining how geometric structures emerge in particle physics calculations. Learn about the algebraic varieties that arise when studying the kinematics of massless particles, understanding their geometric properties and their significance in modern theoretical physics. Discover how these mathematical objects provide crucial insights into scattering amplitudes and contribute to our understanding of fundamental particle interactions. Gain exposure to advanced concepts at the intersection of pure mathematics and theoretical physics, suitable for researchers and advanced students working in algebraic geometry, mathematical physics, or particle theory.
