In recent years an unexpected connection has been found between polytopes in complex projective varieties and the physics of scattering amplitudes. In this talk I will discuss the Grassmannian generalisation of simplexes and polytopes, called positive geometries, and their associated canonical forms. Adding a generalised idea of convexity results in the Amplituhedron, whose canonical form exactly corresponds to scattering amplitudes in N=4 super Yang-Mills theory.
