Non-planar on-shell diagrams in N=4 Super Yang-Mills
Brenda Penante (Queen Mary, University of London)

Among the many recent developments in the study of scattering amplitudes in maximally supersymmetric Yang-Mills theory is its dual formulation in terms of an integral over the Grassmannian Gr(k,n) -- the space of k-planes in n dimensions. This formulation is tied to the concept of on-shell diagrams, bipartite graphs which beautifully relate field theory with combinatorics and graph theory.
The planar limit of the theory (SU(N) gauge group with N large) is well understood, but the effects of having a finite N are only starting to be explored. In this talk I will review these concepts in the planar limit and present some new features that arise when going beyond to non-planar on-shell diagrams.