Tropical geometry, quantum affine algebras, and scattering amplitudes
报告题目(Title)：Tropical geometry, quantum affine algebras, and scattering amplitudes
报告人(Speaker)：李建荣（维也纳大学）
地点(Place)：后主楼1220
时间(Time)：2024年3月19日 16:00-16:50
邀请人(Inviter)：肖杰、覃帆、周宇、方杰鹏、兰亦心
报告摘要
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 is a product indexed by prime modules of a quantum affine algebra. We give a general formula of u-variables using prime tableaux (corresponding to prime modules of quantum affine algebras of type A) and Auslander-Reiten quivers of Grassmannian cluster categories. This is joint work with Nick Early.
