Series of Academic Activities of School and Institute of Mathematics in 2020（the 205th）：

Associate Professor Lang Honglei China Agricultural University

Report title: Rota-Baxter Lie Groups, Rota-Baxter Lie Groupoids and Algebroids.

Reporter: Associate Professor Lang Honglei China Agricultural University

Reporting time: 10:30-11:30, September 11, 2020

Report location: Tencent Meeting ID: 655559871

School contact: Tang Rong tangrong@jlu.edu.cn

Report summary:

We introduce Rota-Baxter operators on Lie groups so that the differentiation of a Rota-Baxter operator on a Lie group gives one on the corresponding Lie algebra. Factorizations theorems of Rota-Baxter Lie algebras and Rota-Baxter Lie groups are proved. From a geometrization consideration, the notions of Rota-Baxter Lie algebroids and groupoids are introduced, with the former a differentiation of the latter. Examples and applications are provided for these new notions. This is a joint work with Li Guo and Yunhe Sheng.

Brief introduction of the speaker:

Lang Honglei received a bachelor's degree from Jilin University in 2011 and a doctorate from Peking University in 2016. He is a postdoctoral fellow at Max Planck Institute in Germany and is currently an associate professor at China Agricultural University. Engaged in Poisson geometry and mathematical physics research, published many high-level papers in Lett. Math. Phys., Transformation Groups and other magazines.