Non-perturbative Amplituhedron Geometry

I will review recent progress on the connections between scattering amplitudes in quantum field theory and the geometry of Amplituhedron, a recently discovered mathematical object which captures particle dynamics of strong interactions. In this picture, the physics problem of predicting the outcomes of particle scattering is reformulated as the mathematical problem of calculating a volume of a higher-dimensional geometric object. I will also show some recent application to computing all-order results for certain physical quantities.