Notes on Biadjoint Amplitudes, ${\rm Trop}\,G(3,7)$ and $X(3,7)$ Scattering Equations

Understand

In these notes we use the recently found relation between facets of tropical Grassmannians and generalizations of Feynman diagrams to compute all "biadjoint amplitudes" for $n=7$ and $k=3$.

• We also study scattering equations on $X(3,7)$, the configuration space of seven points on $\mathbb{CP}^2$.
• We prove that the number of solutions is $1272$ in a two-step process.
• In the first step we obtain $1162$ explicit solutions to high precision using near-soft kinematics.