题目：Shuffle Algebras and Their Integral Forms for Types B, C, D

报告人：胡越（北京邮电大学）

时间：2026年6月4日，14：00-15：00

地点：管理科学教学科研楼1418

摘要：Shuffle algebras provide a combinatorial framework that embeds the positive parts of quantum loop algebras and Yangians into algebras of symmetric rational functions, enabling the study of non-commutative structures via functional methods. This framework has found important applications in quantum integrable systems and geometric representation theory. This talk focuses on the application of shuffle algebras to constructing PBW-type bases for quantum affine algebras and their integral forms (in Drinfeld presentation) for types B, C, D，using the  specialization map approach. The framework also extends to positive characteristic, leading to a shuffle algebra realization of restricted Yangians.

报告人简介：胡越，北京邮电大学数学科学学院讲师。研究方向为李理论，特别关注量子仿射代数及Yangian的shuffle代数实现及其应用。近年来在相关领域取得系列进展，研究成果发表于IMRN,J.Algebra。