Scattering amplitudes of N=4 supersymmetric gauge theory are functions with remarkable mathematical properties. The manifold of kinematic data for an n-particle scattering process is an example of a type of space known as a cluster Poisson variety, and it has been discovered that there is a deep connection between amplitudes and the Gr(4,n) Grassmannian cluster algebra. I will review various aspects of this connection and show how exploiting these mathematical properties can greatly aid the computation of previously unknown amplitudes.
For help, please contact James Tuan.