报告人：赵开明 教授
报告题目：The boundary Carrollian conformal algebra
报告时间：2025年12月18日（周四）15:25-16:25
报告地点：云龙校区6号楼304报告厅
主办单位：数学与统计学院、数学研究院、科学技术研究院
报告人简介：
赵开明，加拿大 Wilfrid Laurier大学教授，河北师范大学兼职教授，博导。1991年获得中国科学院数学博士学位，1999年入选中国科学院“百人计划”。美国《数学评论》、《德国数学文摘》评论员。从事李代数、非交换代数、结合代数、可除代数等领域的研究工作。在Adv. Math, Trans. AMS, Math. Z.等国际顶尖学术期刊杂志发表高水平学术论文150余篇，主持多项国家自然科学基金项目、加拿大研究理事会基金项目，是国际代数学领域有重要影响的专家。
报告摘要：
We initiate the mathematical study of the boundary Carrollian conformal algebra (BCCA), an infinite-dimensional Lie algebra recently discovered in the context of Carrollian physics. The BCCA is an intriguing object from both physical and mathematical perspectives, since it is a filtered but not graded Lie algebra. We first construct some modules for the BCCA and one of its subalgebras, which we call O, by restriction of well-known modules of the BMS and Witt algebras respectively. We go through some structure theory on the BCCA to define a new basis and a decreasing filtration on the algebra which lets us construct BCCA-modules intrinsically. In particular, we construct Whittaker modules over the BCCA and the subalgebra O and prove criteria for their irreducibility. The talk is based on a joint paper with Lucas Buzaglo, Xiao He, Tuan Anh Pham, Haijun Tan, Girish S Vishwa.
