報(bào)告人：趙開(kāi)明 教授

報(bào)告題目：The boundary Carrollian conformal algebra

報(bào)告時(shí)間：2025年12月18日（周四）15:25-16:25

報(bào)告地點(diǎn)：云龍校區(qū)6號(hào)樓304報(bào)告廳

主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院、數(shù)學(xué)研究院、科學(xué)技術(shù)研究院

報(bào)告人簡(jiǎn)介：

趙開(kāi)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(guó)科學(xué)院數(shù)學(xué)博士學(xué)位，1999年入選中國(guó)科學(xué)院“百人計(jì)劃”。美國(guó)《數(shù)學(xué)評(píng)論》、《德國(guó)數(shù)學(xué)文摘》評(píng)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(guó)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(guó)家自然科學(xué)基金項(xiàng)目、加拿大研究理事會(huì)基金項(xiàng)目，是國(guó)際代數(shù)學(xué)領(lǐng)域有重要影響的專(zhuān)家。

報(bào)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.