報告題目:Rota-Baxter Lie groups, Rota-Baxter Lie groupoids and algebroids.
報 告 人:郎紅蕾副教授 中國農業大學
報告時間:2020年9月11日 10:30-11:30
報告地點:騰訊會議 ID:655559871
校内聯系人:唐榮 tangrong@jlu.edu.cn
報告摘要:
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.
報告人簡介:
郎紅蕾,2011年在吉林大學獲得學士學位,2016年在北京大學獲得博士學位,德國馬普所博士後,現為中國農業大學副教授。從事Poisson幾何與數學物理的研究,在Lett. Math. Phys., Transformation Groups等雜志上發表多篇高水平論文。