时间：2021.5.13（周四），9:00-10:00
腾讯会议：455821488
https://meeting.tencent.com/s/cAwfiFd6M8yD
报告题目：Rota-Baxter Lie groups
报告人：生云鹤教授吉林大学
摘要：Rota-Baxter operators on Lie algebras were first studied by Belavin, Drinfeld and Semenov-Tian-Shansky as operator forms of the classical Yang-Baxter equation. As a fundamental tool in studying integrable systems, the factorization theorem of Lie groups by Semenov-Tian-Shansky was obtained by integrating a factorization of Lie algebras from solutions of the modified Yang-Baxter equation. Integrating the Rota-Baxter operators on Lie algebras, we introduce the notion of Rota-Baxter operators on Lie group and more generally on groups. Then the factorization theorem can be achieved directly on groups. For geometrization, the notions of Rota-Baxter Lie algebroids and Rota-Baxter Lie groupoids are introduced. A Rota-Baxter Lie algebroid naturally gives rise to a post-Lie algebroid. Furthermore, the geometrization of a Rota-Baxter Lie algebra or a Rota-Baxter Lie group can be realized by its action on a manifold. Examples and applications are provided for these new notions.
报告人简介：生云鹤，吉林大学数学学院教授，博士生导师,《数学进展》、《J. Nonlinear Math. Phys.》编委，吉林省第十六批享受政府津贴专家（省有突出贡献专家）。2009年1月博士毕业于北京大学，从事Poisson几何、高阶李理论与数学物理的研究，2019年获得国家自然科学基金委优秀青年基金项目，在CMP, IMRN,JNCG,JA等杂志上发表学术论文60余篇，被引用400余次。
