Non-Commutative Geometry Seminar

Abstract: In this talk I will describe the new geometric picture for the scattering amplitudes in N=4 super Yang-Mills (SYM) theory. The building blocks are on-shell diagrams which are associated with the cells in the positive Grassmannian. Furthermore, all cells can be glued together giving rise to the Amplituhedron which is a certain map from the top cell of positive Grassmannian (and its generalizations). The form with logarithmic singularities on the boundaries of this space gives the scattering amplitudes in N=4 SYM theory.