报告人：郭锂 教授
报告题目：Induced structures of operated algebras
报告时间：2026年7月11日（周六）下午3：00
报告地点：云龙校区6号楼304报告厅
主办单位：数学与统计学院、数学研究院、科学技术研究院
报告人简介：
郭锂，美国罗格斯大学纽瓦克分校教授。郭锂博士的数论工作为怀尔斯证明费马大定理的文章所引用，并将怀尔斯文中的主猜想推广到高权模形式上。他近年来将重整化这一物理方法应用于数学研究，推动Rota-Baxter代数及相关数学和理论物理的研究。应邀为美国数学会在“What Is”栏目中介绍Rota-Baxter代数，并出版这个领域的第一部专著。研究涉及结合代数，李代数，Hopf代数，operad，数论，组合，计算数学，量子场论和可积系统等数学和理论物理的广泛领域。在Duke Math. J.、Comm. Math. Phy.、Adv. Math.、 Trans. AMS、IMRN、Math Ann.等国际著名杂志发表论文150余篇。
报告摘要：
In recent years, a lot of attention has been attracted to operated algebras, defined to be algebras equipped with various linear operators, such as derivations and Rota-Baxter operators. An important aspect in their study is that they induce new algebraic structures defined by binary quadratic relations. For example, a differential commutative algebra induces a Novikov algebra and a Rota-Baxter Lie algebra induces a pre-Lie algebra or a post-Lie algebra. While these new structures are important, the meaning of being induced has been informal. This talk presents a general framework to define and understand such induced structures. The talk is based on joint works with Shiyuan Huang, Shanghua Zheng, Xiaoyan Wang and Huhu Zhang.