应304am永利集团官网邀请，维也纳大学李建荣博士将于2022年10月29日举办线上学术讲座，欢迎广大师生参加。

报告题目：Quantum affine algebras and KLR algebras

时间：10月29日(周六)下午16:00—18:00

腾讯会议ID：837-692-289

会议链接：https://meeting.tencent.com/dm/3LS5djmSVnHp

报告摘要：Recently, Baumann-Kamnitzer-Knutson introduced a remarkable algebra morphism: \bar{D} from C[N] to the field of rational functions C(a_1, ..., a_n), where N is the unipotent radical of a simply laced complex algebraic group and a_i are simple roots, in their proof of a conjecture of Muthiah about MV basis of C[N]. The algebra C[N] and a larger algebra K_0(C^{\xi}) have monoidal categorifications using representations of quantum affine algebras introduced by Hernandez and Leclerc. We defined an algebra morphism D\tilde{D} from K_0(C^{\xi}) to C(a_1, ..., a_n) and proved that when restricts to C[N], \tilde{D} coincides with \bar{D}. Moreover, using \tilde{D} and \bar{D}, we can recover information of q-characters of representations of quantum affine algebras from ungraded characters of modules of KLR algebras and vice versa. This is joint work with Elie Casbi.

报告人简介

李建荣博士，从事量子仿射代数、丛代数和数学物理等方面的研究，曾在希伯来大学、威兹曼研究所、格拉兹大学等访问或做研究工作，曾主持和参与完成多项国家自然科学基金、海外基金，在JHEP、IMRN、Select Math.等国际著名期刊发表论文20余篇。

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