A Mathematical Introduction to the Amplituhedron - Lecture 2

This lecture is the second part of Melissa Sherman-Bennett's mathematical introduction to the Amplituhedron, presented as part of the "Positive Geometry in Scattering Amplitudes and Cosmological Correlators" program at the International Centre for Theoretical Sciences. Delve into advanced mathematical concepts that connect positive geometry to perturbative on-shell scattering amplitudes. The program brings together experts from scattering amplitudes and cosmology fields to explore connections between these disciplines, including unitarity methods, recursion relations, worldsheet models, bootstrap methods, and the intriguing relationships to positive geometry, positive Grassmannian, Associahedron, and the Amplituhedron. This interdisciplinary approach aims to reformulate the perturbative S-matrix using novel principles while exploring similar structures observed in cosmological correlators that capture fundamental physics of our Universe.