Introductory Lecture on Positive Geometries

Learn about positive geometries in this 55-minute lecture from the Amplituhedra, Cluster Algebras, and Positive Geometry Conference at Harvard CMSA. Explore semialgebraic spaces and their role in studying scattering amplitudes, with a focus on polytopes and totally nonnegative parts of flag varieties. Gain insights into the canonical forms of these mathematical structures and their potential connection to the amplituhedron. Delivered by Professor Thomas Lam from the University of Michigan, discover the fundamental concepts and broad applications of positive geometries in mathematical physics.