Paradigm shift in perturbative gauge theory

I will describe the ongoing paradigm shift in perturbative gauge theory known as the field of Scattering Amplitudes. I will mention several approaches including on-shell methods; Britto-Cachazo-Feng-Witten recursion relations for Maximal Helicity Violating amplitudes; the Cachazo-He-Yuan formula and the Gross-Mende Scattering equations;  and finally the search for an underlying geometry and the Amplituhedron. Time permitting I will discuss work in progress on an important method to compute Feynman diagrams formerly known as Integration By Parts.