题目：Deligne’s conjecture for Lie algebroid pairs

报告人：程家豪 博士，南昌航空大学

时间：2023年11月29日，15：00-16：00

地点：教室5405

摘要： Deligne conjectured that the Hochschild cochain complex of an associative algebra admits a structure of an algebra over the little 2-discs operad. Braces algebras play important roles in the solutions of Deligne’s conjecture. The theory of Lie algebroid pairs provides a common framework to study many sources of geometric objects which include complex manifolds, foliations, and manifolds with Lie algebra actions. In this talk, I report progress on constructing homotopy braces algebra arising from a Lie algebroid pair, and proving a geometric generalization of Deligne’s conjecture: the Hochschild cochain complex of a Lie algebroid pair also admits a structure of an algebra over the little 2-discs operad. This is a joint work with Z. Chen, Y. Qiao, and M. Xiang.