報(bào)告題目：Cohomology theory of difference Lie groups

　　報(bào)告人：黎允楠,，廣州大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院，副教授

　　報(bào)告時(shí)間：2022年12月9日 9:30-10:30.

　　報(bào)告地點(diǎn)：騰訊會(huì)議：757747420

　　報(bào)告摘要：A difference Lie group is a Lie group equipped with a difference operator, equivalently a crossed homomorphism with respect to the adjoint action. In this talk, first we introduce the notion of a representation of a difference Lie group, and establish the relation between representations of difference Lie groups and representations of difference Lie algebras via differentiation and integration. Then we introduce a cohomology theory for difference Lie groups and justify it via the van Est theorem. As applications, all abelian extensions of difference Lie groups are classified using the second cohomology group .This is joint work with Jun Jiang and Yunhe Sheng.

　　報(bào)告人簡介：黎允楠,，廣州大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院副教授,，博士畢業(yè)于華東師范大學(xué)數(shù)學(xué)系，研究方向?yàn)槔畲鷶?shù),、量子群與代數(shù)組合,，現(xiàn)與合作者在Math. Z., Pacific J. Math., J. Combin. Theory Ser. A, J. Algebra, J. Algebraic Combin.等數(shù)學(xué)期刊發(fā)表論文十余篇。2015年成為美國數(shù)學(xué)會(huì)數(shù)學(xué)評(píng)論網(wǎng)評(píng)論員,，2018-2019國家公派美國羅格斯大學(xué)研修訪問,，2020年認(rèn)定為廣州市青年后備人才，2021年成為德國數(shù)學(xué)文摘數(shù)據(jù)庫評(píng)論員,。

　　報(bào)告題目： On the center of the modular super Yangian Y（m|n）

　　報(bào)告人：常浩,，華中師范大學(xué)，副教授

　　報(bào)告時(shí)間：2022年12月9日 10:30-11:30.

　　報(bào)告地點(diǎn)：騰訊會(huì)議：757747420

　　報(bào)告摘要：In this talk, I will introduce the super Yangian Y（m|n）associated to the general linear Lie superalgebra gl（m|n） over a field of positive characteristic. We extend Drinfeld-type presentations of Y（m|n） and the special super Yangian SY（m|n） to positive characteristic. Moreover, the center Z（Y（m|n）） of Y（m|n） is described: it is generated by its Harish-Chandra center together with a large p-center. We also study the p-center of SY（m|n） and provide another description of the p-center of Y（m|n） in terms of the RTT generators. This is a joint work with Hongmei Hu.

　　報(bào)告人簡介：常浩,，華中師范大學(xué)副教授,，研究方向?yàn)樗靥卣饔蛏系睦畲鷶?shù)和表示理論。 在 Representation Theory, J. Pure Appl. Algebra, Algebras and Representation theory, Math. Proc. Cambridge Philos. Soc. 等期刊發(fā)表論文10余篇,。 主持國家自然科學(xué)基金青年項(xiàng)目,。