举办单位：数学学院

报告一：Title: Whittaker modules for quasi-reductive Lie superalgebras and principal finite W- superalgebras

报告时间：2025年5月17日10:00-11:00

报告地点：翡翠科教楼B1710

报告人：陈志玮 教授

工作单位：台湾“中央”大学

报告简介：We study the Whittaker modules associated with a nilcharacter over a quasi- reductive Lie superalgebra. In this talk, we present some constructions of simple Whittaker modules for a basic classical and a strange Lie superalgebras. In the case when the nilcharacter is regular, we explain a Kostant-Skryabin type equivalence between the category of Whittaker modules and the category of finite-dimensional modules over the associated principal finite W -superalgebra. This allows us to give a super analogue of Soergel’s Struktursatz for a certain Whittaker functor from the integral BGG category O to the module category of the principal finite W-superalgebras. This is a joint work with Shun-Jen Cheng.

报告人简介：陈志玮，中国台湾“中央”大学数学与统计学院教授，于2016年毕业于台湾大学，主要从事与李理论的表示范畴相关的研究。至今为止在ForumMath. Sigma, Comm. Math. Phys., Trans. Amer. Math. Soc. J. Lond. Math. Soc.,I nt. Math. Res. Not., Math. Z.等杂志发表高水平论文20多篇

报告二：Structure and representation theory for electrical Lie algebras

报告时间：2025年5月17日11:00-12:00

报告地点：翡翠科教楼B1710

报告人：蔡延安 副教授

工作单位：苏州大学

报告简介：In this talk, I will present some recent developments on structure and representation theory for electrical Lie algebras.

报告人简介：蔡延安，苏州大学数学学院副教授，主要从事与李理论的表示范畴相关的研究。至今为止在Transform Groups, J. Algebra, J. Pure Appl. Algebra,等杂志发表高水平论文20多篇.

报告三：Cyclicity and Irreducibility in Tensor Products of Highest Weight Modules over Yangians

报告时间：2025年5月17日14:00-15:00

报告地点：翡翠科教楼B1710

报告人：刘兴鹏 博士后

工作单位：南方科技大学

报告简介: The study of tensor products of representations over Yangians has long been a central topic in representation theory, attracting significant attention from researchers such as Molev, Hernandez, and Nazarov–Tarasov, among others. In this talk, I will present joint work with Prof. H. Chen, H. Dai and Q. Zhao on the cyclicity and irreducibility of tensor products of highest weight modules over Yangians. We further investigate the module structure in the reducible case. As a concrete example, we carry out explicit computations in type A, illustrating the structural features and criteria for irreducibility and reducibility in detail.

报告人简介：刘兴鹏，南方科技大学杰曼诺夫国际数学中心博士后。主要从事与李理论的表示范畴相关的研究。至今为止在J. Algebra，J. Pure Appl. Algebra，Pacific J. Math,.等杂志发表高水平论文多篇.

报告四：Tensor products of essentially typical modules of superYangian

报告时间：2025年5月17日15:00-16:00

报告地点：翡翠科教楼B1710

报告人：黎铮 博士后

工作单位：华中师范大学

报告简介: In this talk, I will present the necessary and sufficient conditions for determining the irreducibility of tensor products of essentially typical modules over the super Yangian.

报告人简介：黎铮，华中师范大学数学学院博士后。主要从事与李理论的表示范畴相关的研究。至今为止在Adv. Math., J. Algebra等杂志发表高水平论文多篇。

报告五：Degenerate Whittaker modules for \hat{sl_2} and the connection to two-dimensional conformal field theory

报告时间：2025年5月17日16:00-17:00

报告地点：翡翠科教B楼1710

报告人：葛霖 博士后

工作单位：哈尔滨工业大学

报告简介: We introduce explicit and novel criteria for determining the irreducibility of degenerate Whittaker modules of \hat{sl_2}. While [3] provided a set of suffffcient conditions, our results reffne these into both necessary and suffffcient criteria. Additionally, we provide the embedding diagrams, Jantzen ffltration, and the characters for the irreducible degenerate Whittaker modules of \hat{sl_2}. Building on this classiffcation, we establish, for the ffrst time, a connection between Whittaker modules of affffne Kac-Moody algebras and conformal ffeld theory. Furthermore, our method establishes a correspondence between the highest weight modules of the Virasoro algebra and the irreducible degenerate Whittaker modules of \hat{sl_2}.

报告人简介：葛霖，哈尔滨工业大学仪器科学与工程学院博士后。主要从事与李理论的表示范畴相关的研究。至今为止在Adv. Math., J. Algebra等杂志发表高水平论文多篇。