Geometry and Physics Seminar

In this talk, I present a Feynman integral approach to understanding the three level interactions of N = 4 SYM theory, and compare it to the BCFW approach of the Amplituhedron. In particular, in the Feynman integral approach, the geometry decomposes nicely in $Gr_{\geq 0}(k,n)$ for n-particle N^kMHV tree level interactions, a property that is only conjectured for the Amplituhedron. I will present several barriers to generalizing this structure to understanding the geometry of the Amplituhedron, as well as new mathematical questions that have been uncovered by the exploration of N=4 SYM theory in this manner.