学术报告报告主题: Classical Yang-Baxter equations for vertex operator algebras and their operator forms
报 告人：刘建岐博士
报告时间：2023年 06月14日（星期三）上午10:00-11:00
报告地点：四号楼4318会议室
邀 请人：刘明副教授，朱亦艺博士后
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数学学院
2023年 06月13日
报告摘要：The classical Yang-Baxter equation (CYBE) is the semi-classical limit of the quantum Yang-Baxter equation, named after the physicists C.N. Yang and R. Baxter. Its solution has inspired the remarkable works of Belavin, Drinfeld, and others and the important notions of Lie bialgebras and Manin triples. Motivated by the importance of the CYBE in the theory and applications of Lie algebras, various analogs of the CYBE for other algebraic structures have been extensively studied in recent years. In this talk, we will first review the tensor and operator forms of the CYBE and their connections with the Rota-Baxter operators. Then we will give a generalization of the CYBE in both tensor and operator form to the vertex operator algebras, which provides us with a parameter-independent Yang-Baxter equation whose solutions lie in an infinite-dimensional vector space. Finally, we will discuss its relations with the CYBE. No prior knowledge of Yang-Baxter equations is required. This talk is based on a joint work with Chengming Bai and Li Guo.
报告人介绍：刘建岐，UC Santa Cruz博士，师从董崇英教授，从事顶点算子代数理论的研究，现为Pennsylvanian大学博士后，部分工作发表在C.M.P, Journal of Algebra等杂志上。