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This lecture, titled "Amplituhedron for IR Finite Amplitudes (Lecture 1)" by Jaroslav Trnka, is part of the program "Positive Geometry in Scattering Amplitudes and Cosmological Correlators" organized by the International Centre for Theoretical Sciences. Explore advanced concepts in theoretical physics where mathematical aspects of scattering amplitudes intersect with cosmology. Learn about the structure of perturbative on-shell scattering amplitudes, including unitarity methods, recursion relations, worldsheet models, bootstrap methods, and the connection to positive geometry, positive Grassmannian, Associahedron, and the Amplituhedron. Discover how these concepts are pushing toward a reformulation of the perturbative S-matrix using new principles, and how similar structures appear in cosmological correlators that capture the physics of our Universe. The lecture is part of a workshop designed to advance connections between these two fields of theoretical physics.
