j9九游会

报告问题 (Title)：Deformations, cohomologies and homotopies of Rota-Baxter Lie algebras（Rota-Baxter李代数的变形、同协调同伦）

报告人 (Speaker)：生云鹤教授 (吉林大学)

报告时间 (Time)：2025年11月14日（周五）10:00

报告所在 (Place)：校本部GJ303

约请人(Inviter)：张红莲教授

主理部分：理学院数学系

报告摘要：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.