题    目：Induced structures of operated algebras

主讲人：郭锂 教授

单    位：Rutgers University -Newark

时    间：2026年5月22日 15:00

腾讯ID：250-222-087

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.

简    介：郭锂，美国罗格斯大学纽瓦克分校教授。郭锂博士于兰州大学获学士学位，于武汉大学获硕士学位，于华盛顿大学获博士学位，并在俄亥俄州立大学、普林斯顿高等研究院和佐治亚州大学作博士后。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。