On Rota-Baxter Algebras

发布者：阮琳琳发布时间：2015-01-07浏览次数：435

报告题目：

报告人：

郭锂教授

Rutgers University-Newark

报告时间：

1月13号（周二）15:30-16:30

报告地点：

九龙湖校区数学系第一报告厅

相关介绍：

摘要：

The concept of a Rota-Baxter algebra is an abstraction of the algebra of continuous functions equipped with the integral operator. It 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 introduced concepts, examples, structures and applications related to Rota-Baxter algebras.

专家简介：郭锂，美国Rutgers大学教授。郭锂博士于华盛顿大学获博士学位。在俄亥俄州立大学、普林斯顿高等研究院和佐治亚大学作博士后。 1996年至今在罗格斯大学纽瓦克分校数学与计算机科学系工作，现任系主任。郭锂博士的数论工作为怀尔斯的有关费马大定理的文章所引用，并把怀尔斯的“主猜想”推广到高权模形式，证明其伴随motive 的Tamagawa数猜想。郭锂教授在数论多元zeta值方面的工作推广了欧拉著名的求和公式和分解公式。他推动Rota-Baxter代数及相关结构近年来的复兴，涉及代数，数论，组合，数学物理和计算数学等多个领域，出版这个方向的首部专著。相关领域的学术论文发表在Adv. Math., Trans. AMS, Comm. Math. Phys., Annales Henri Poincare,J.Algebra等国际著名杂志上。郭锂博士还任数个国际杂志的编委。