報告題目：Rota-Baxter Algebras and Applications
報 告 人：郭锂教授 美國羅格斯大學
報告時間：2020年6月29日 9:00-10:00
報告地點：騰訊會議
會議 ID： 941 749 074
校内聯系人：生雲鶴 shengyh@jlu.edu.cn
報告摘要：
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.
報告人簡介：
郭锂，美國羅格斯大學紐瓦克分校教授，國家QR特聘教授。郭锂教授于蘭州大學獲學士學位，于武漢大學獲碩士學位，于華盛頓大學獲博士學位，并在俄亥俄州立大學、普林斯頓高等研究院和佐治亞州大學作博士後，現任羅格斯大學數學與計算機科學系系主任。郭锂博士的數論工作為懷爾斯證明費馬大定理的文章所引用，并将重整化這一物理方法應用于數學研究，他近年來推動Rota-Baxter代數及相關數學和理論物理的研究，應邀為美國數學會在“What Is”欄目中介紹Rota-Baxter代數，并出版這個領域的第一部專著。研究涉及結合代數，李代數，Hopf代數，operad，數論，組合，計算數學，量子場論和可積系統等數學和理論物理的廣泛領域。
