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(diǎn)：云龍校區(qū)6號樓304報告廳
主辦單位：數(shù)學(xué)與統(tǒng)計學(xué)院、數(shù)學(xué)研究院、科學(xué)技術(shù)研究院
報告人簡介：
趙開明，加拿大 Wilfrid Laurier大學(xué)教授，河北師范大學(xué)兼職教授，博導(dǎo)。1991年獲得中國科學(xué)院數(shù)學(xué)博士學(xué)位，1999年入選中國科學(xué)院“百人計劃”。美國《數(shù)學(xué)評論》、《德國數(shù)學(xué)文摘》評論員。從事李代數(shù)、非交換代數(shù)、結(jié)合代數(shù)、可除代數(shù)等領(lǐng)域的研究工作。在Adv. Math, Trans. AMS, Math. Z.等國際頂尖學(xué)術(shù)期刊雜志發(fā)表高水平學(xué)術(shù)論文150余篇，主持多項(xiàng)國家自然科學(xué)基金項(xiàng)目、加拿大研究理事會基金項(xiàng)目，是國際代數(shù)學(xué)領(lǐng)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.