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Explore advanced concepts in N=4 super Yang-Mills theory through this 52-minute conference talk delivered at Harvard CMSA's Amplituhedra, Cluster Algebras, and Positive Geometry Conference. Delve into the complexities of loop level scattering amplitudes, particularly focusing on cases where n exceeds 7 and the corresponding Grassmannian cluster algebras Gr(4,n) become infinite. Learn about emerging novel features, with special attention given to marginally positive algebraic functions of cluster variables. Gain insights from Brown University's Marcus Spradlin as he examines the intersection of scattering amplitudes, positive geometry, and the amplituhedron, providing a comprehensive overview of current developments in this sophisticated area of mathematical physics.
