Doubling Our Positivity with the Double Copy - Lecture 1

This lecture is the first in a series by John Joseph Carrasco exploring "Doubling Our Positivity with the Double Copy" as part of the "Positive Geometry in Scattering Amplitudes and Cosmological Correlators" program at the International Centre for Theoretical Sciences. Delve into the fascinating intersection of mathematical aspects of scattering amplitudes and cosmology, examining how perturbative on-shell scattering amplitudes connect to positive geometry, positive Grassmannian, Associahedron, and the Amplituhedron. Learn how these advanced theoretical physics concepts are pushing toward a reformulation of the perturbative S-matrix using novel principles, while also exploring their remarkable connections to cosmological correlators that capture the fundamental physics of our Universe. The lecture is part of a workshop designed to advance connections between these seemingly different fields of theoretical physics, bringing together experts from both disciplines.