IntroductionScattering amplitudes sit at the intersection of experimental physics, theoretical physics, and pure mathematics. Besides being directly useful at particle colliders or gravitational wave detectors, their surprising simplicity revealed symmetries and dualities hidden by traditional Lagrangian perspectives, and hints towards a completely new approach to quantum field theory.This cour...
Abstract:In this talk, I will talk about a connection between tropical geometry, representations of quantum affine algebras, and scattering amplitudes in physics. We give a systematic construction of prime modules (including prime non-real modules) of quantum affine algebras using tropical geometry. We propose a generalization of Grassmannian string integrals in physics, in which the integrand ...