题  目： Rota-Baxter Lie bialgebras and Rota-Baxter Poisson Lie groups

报告人： 郎红蕾 副教授  中国农业大学

摘  要： First we introduce the notion of quadratic Rota–Baxter Lie algebras of arbitrary weight, and show that there is a one-to-one correspondence between factorizable Lie bialgebras and quadratic Rota–Baxter Lie algebras of nonzero weight. Then we introduce the notions of matched pairs, bialgebras and Manin triples of Rota–Baxter Lie algebras, and show that Rota–Baxter Lie bialgebras, Manin triples of Rota–Baxter Lie algebras and certain matched pairs of Rota–Baxter Lie algebras are equivalent. Finally, we present some results on Rota-Baxter Poisson Lie Groups. This is joint work in progress with Yunhe Sheng.

时  间： 4月10日 星期三 14:00

地  点： 逸夫楼1537

郎红蕾，2016年在北京大学取得博士学位，之后在德国马克斯普朗克数学研究所从事博士后研究，归国后到中国农业大学tyc1286太阳成集团工作。她的研究方向为Poisson几何与数学物理，在Communications in Mathematical Physics, Advances in Mathematics等一流期刊发表多篇论文。