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This lecture is the first in a series providing a mathematical introduction to the Amplituhedron, delivered by Melissa Sherman-Bennett at the International Centre for Theoretical Sciences as part of the "Positive Geometry in Scattering Amplitudes and Cosmological Correlators" program. Explore the fascinating intersection of mathematics and theoretical physics as Sherman-Bennett introduces the concept of the Amplituhedron, a geometric object that has revolutionized our understanding of quantum field theory calculations. The lecture bridges two different disciplines: mathematical aspects of scattering amplitudes and cosmology, contributing to the ongoing effort to reformulate the perturbative S-matrix using novel principles. This 85-minute presentation is part of a broader workshop bringing together experts to advance connections between positive geometry, positive Grassmannian, Associahedron, and the Amplituhedron, with applications to both scattering amplitudes and cosmological correlators that capture the fundamental physics of our Universe.
