Title: Deformations, cohomologies and homotopies of Rota-Baxter Lie algebras
Speaker: Yunhe Sheng（Jilin University）
Time: 12.10 (Wednesday), 10:30-11:30
Venue: Room B201-1, Mingde Building
Abstract: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.
