报告题目：Deformations, cohomology and homotopy theory of relative Rota-Baxter Lie algebras 

报告人：生云鹤, 吉林大学

时间：2022年11月25日（星期五）下午14:30-16:00

腾讯会议：572-283-2445    会议密码：123456

摘要：We determine the L-infty-algebra that controls deformations of a relative Rota-Baxter Lie algebra and show that it is an extension of the dg Lie algebra controlling deformations of the underlying LieRep pair by the dg Lie algebra controlling deformations of the relative Rota-Baxter operator. Consequently, we define the  cohomology of relative Rota-Baxter Lie algebras and relate it to their infinitesimal deformations. The notion of a homotopy relative Rota-Baxter Lie algebra is introduced. We show that a class of homotopy relative Rota-Baxter Lie algebras is intimately related to pre-Lie-infty algebras. This talk is based on joint works with Chengming Bai, Li Guo, Andrey Lazarev and Rong Tang.