IAS HET Seminar | Giulio Salvatori, Member, School of Natural Sciences, IAS| “Scattering Amplitudes, Positive Geometries and Surfaces” | Wolfensohn Hall (behind Bloomberg Hall) & on Zoom

Mar 11, 2022, 1:45 pm1:45 pm
Wolfensohn Hall (behind Bloomberg Hall) & on Zoom
Event Description

In recent years we have witnessed the emergence of a novel description for the physics of scattering amplitudes at the heart of which are mathematical structures called Positive Geometries, which loosely speaking are generalizations of polytopes having the crucial feature of encoding in their boundaries the singularity structure of amplitudes and loop-level integrands.

While the history of this geometrical description of scattering amplitudes has its roots in the Grassmannian formulation of N=4 planar sYM and in the Amplituhedron, it has since then been extended to a colored version of φ^3 theory. This in turn led to the discovery of a family of polytopes canonically attached to orientable surfaces, which my collaborators and I have dubbed Surfacehedra.

In this talk I will review these recent developments focusing in particular on a (still conjectural) connection between Surfacehedra and bosonic string amplitudes.