关于举行李建荣教授（维也纳大学）学术报告会的通知

报告主题:   Tropical geometry, quantum affine algebras, and scattering amplitude

报  告  人:   李建荣教授

报告时间:   2024年6月10日（星期一）上午9: 15-10: 15

报告地点:   37号楼3A01

邀  请  人:   刘明副教授、常智华副教授

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数学学院

2024年 6月4日

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.