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Explore the mathematical foundations of amplituhedra in this comprehensive lecture delivered by Melissa Sherman-Bennett at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the geometric structures that revolutionize our understanding of scattering amplitudes in theoretical physics, examining how these mathematical objects provide elegant solutions to complex calculations in quantum field theory. Learn about the intricate relationships between algebraic geometry and particle physics amplitudes, discovering how amplituhedra serve as geometric representations of physical processes. Investigate the mathematical properties and construction methods of these fascinating geometric objects, understanding their role in simplifying computations that were previously intractable. Gain insights into cutting-edge research connecting pure mathematics with fundamental physics, as part of the thematic programme on "Amplitudes and Algebraic Geometry" that brings together leading experts in both fields to explore these revolutionary mathematical tools.
