报告题目：Rota-Baxter Algebras and Applications

报 告 人：郭锂教授 美国罗格斯大学

报告时间：2020年6月29日 9:00-10:00

报告地点：腾讯会议

会议 ID： 941 749 074

校内联系人：生云鹤 shengyh@jlu.edu.cn

报告摘要：

The concept of a Rota-Baxter algebra is an abstraction of the algebra of continuous functions equipped with the integral operator. It is originated from the probability study of Glenn Baxter in 1960 and was developed further by combinatorists such as Cartier and Rota in the 1960s and 1970s. Independently, this structure was discovered in the Lie algebra context as the operator form of the classical Yang-Baxter equation, named after the well-known physicists. In this century, Rota-Baxter algebra has found important theoretical developments and applications in mathematical physics, operads, number theory and combinatorics. We will introduce concepts, examples, structures and applications related to Rota-Baxter algebras.

报告人简介：

郭锂，美国罗格斯大学纽瓦克分校教授，国家QR特聘教授。郭锂教授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，现任罗格斯大学数学与计算机科学系系主任。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，并将重整化这一物理方法应用于数学研究，他近年来推动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。