The Correlahedron

Explore a 49-minute lecture on "The Correlahedron" delivered by Paul Jonathan Heslop at the International Centre for Theoretical Sciences. This talk is part of the program "Positive Geometry in Scattering Amplitudes and Cosmological Correlators," which brings together experts from mathematical aspects of scattering amplitudes and cosmology. Discover how recent advances in perturbative on-shell scattering amplitudes—including unitarity methods, recursion relations, worldsheet models, bootstrap methods, and connections to positive geometry—are pushing toward a reformulation of the perturbative S-matrix using new principles. Learn about the intriguing parallels observed between these structures and cosmological correlators, which capture fundamental physics of our Universe. The lecture contributes to the workshop's goal of advancing connections between these two fields of theoretical physics.