7月27日 西北农林科技大学张世隆副教授学术报告

发布时间:2026-07-22浏览次数:10

报告人:张世隆 副教授

报告题目:On Rota-Baxter Lie 2-Algebras

报告时间:2026727日(周一)下午3:30

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:

张世隆,西北农林科技大学副教授。主要从事罗巴代数、微分代数和范畴论研究,在Adv. Appl. Math.、J. Algebra Appl.Appl. Categor. Struct.等期刊发表 SCI 论文十余篇。

报告摘要:

This project introduces Rota-Baxter Lie 2-algebras as the categorification of Rota-Baxter Lie algebras. We prove that the category of Rota-Baxter Lie 2-algebras is equivalent to the category of 2-term Rota-Baxter L-infinity-algebras. We further establish a one-to-one correspondence between strict 2-term Rota-Baxter L-infinity-algebras and crossed modules of Rota-Baxter Lie algebras. As an application of such crossed modules, we provide explicit constructions for crossed modules of pre-Lie algebras and Lie algebras. This is a joint work with Jiefeng Liu.