报告人：生云鹤
报告地点：人民大街校区数学与统计学院104教室
报告时间：2026年04月16日星期四16:00-17:00
邀请人：刘杰锋
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.
主讲人简介：
生云鹤，吉林大学数学学院副院长、教授、博士生导师，吉林省政府津贴专家（省有突出贡献专家）。主要研究领域为Poisson几何、非线性李理论、高阶李理论与数学物理等。在《Adv. Math.》《Math. Ann.》《Comm. Math. Phys.》《Trans. Amer. Math. Soc.》《Int. Math. Res. Not. IMRN》、《J. Noncommut. Geom.》《J. Algebra》《Pacific J. Math.》等著名期刊发表学术论文90余篇。主持国家自然科学优秀青年基金、面上项目、青年项目、天元项目以及博士后基金项目等多项，并担任《数学进展》、《J. Nonlinear Math. Phys.》杂志编委。
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