Explore theoretical aspects of scattering amplitudes in this 34-minute conference talk by Nima Arkani-Hamed from the Institute for Advanced Study. Delve into topics such as virtual particles, positive geometries, colored scalars, and polytopes as part of the 2022 Snowmass Theory Frontier Conference at the Kavli Institute for Theoretical Physics. Examine the pattern of poles, canonical forms, and combinatorial ideas in kinematic space. Investigate dynamics, the Minkowski Song, and dual understanding through tropical expressions. Analyze loop integrals and nonlinear structures before concluding with a summary and an urgent question. Gain insights into recent advances and future opportunities in high-energy physics theory, including particle theory, formal/string theory, and cosmological and astro-particle theory.