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.

https://theias.zoom.us/j/83544347711?pwd=WVgzdk02ZUpZZE90aUovMXRiaytidz…