報告人：趙開明 教授

報告題目：The boundary Carrollian conformal algebra

報告時間：2025年12月18日（周四）15:25-16:25

報告地點：云龍校區(qū)6號樓304報告廳

主辦單位：數(shù)學與統(tǒng)計學院、數(shù)學研究院、科學技術研究院

報告人簡介：

趙開明，加拿大 Wilfrid Laurier大學教授，河北師范大學兼職教授，博導。1991年獲得中國科學院數(shù)學博士學位，1999年入選中國科學院“百人計劃”。美國《數(shù)學評論》、《德國數(shù)學文摘》評論員。從事李代數(shù)、非交換代數(shù)、結合代數(shù)、可除代數(shù)等領域的研究工作。在Adv. Math, Trans. AMS, Math. Z.等國際頂尖學術期刊雜志發(fā)表高水平學術論文150余篇，主持多項國家自然科學基金項目、加拿大研究理事會基金項目，是國際代數(shù)學領域有重要影響的專家。

報告摘要：

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.