东北师范大学刘杰锋副教授学术报告
题目：F-manifold algebras and deformation quantization via pre-Lie algebras
时间：2021.9.17（周五），14:30-15:30
地点：腾讯会议（会议ID：594483384)
报告人：刘杰锋副教授（东北师范大学）
https://meeting.tencent.com/dm/TPNv165cHV2R
摘要：The notion of an F-manifold algebra is the underlying algebraic structure of an F-manifold. We introduce the notion of pre-Lie formal deformations of commutative associative algebras and show that F-manifold algebras are the corresponding semi-classical limits. We study pre-Lie infinitesimal deformations and extension of pre-Lie n-deformation to pre-Lie (n+1)-deformation of a commutative associative algebra through the cohomology groups of pre-Lie algebras. We introduce the notions of pre-F-manifold algebras and show that a pre-F-manifold algebra gives rise to an F-manifold algebra through the sub-adjacent associative algebra and the sub-adjacent Lie algebra. We use Rota-Baxter operators, more generally O-operators on F-manifold algebras to construct pre-F-manifold algebras. This is a joint work with Chengming Bai and Yunhe Sheng.
报告人简介：
刘杰锋，东北师范大学副教授，2016年博士毕业于吉林大学，从事Poisson几何与数学物理的研究，在J. Symplectic Geom., J. Noncommut. Geom., J. Algebra等杂志上发表多篇高水平论文。
吉林大学唐荣博士学术报告
题目：Homotopy Rota-Baxter operators and post-Lie algebras
时间：2021.9.17（周五），15:30-16:30
地点：腾讯会议（会议ID：594483384)
报告人：唐荣博士（吉林大学）
https://meeting.tencent.com/dm/TPNv165cHV2R
摘要：Rota-Baxter operators and the more general O-operators on Lie algebras together with their interconnected pre-Lie and post-Lie algebras are important algebraic structures with broad applications. This paper introduces the notions of a homotopy Rota-Baxter operator and a homotopy O-operator on a symmetric graded Lie algebra. Their characterization by Maurer-Cartan elements of suitable differential graded Lie algebras is provided. Through the action of a homotopy O-operator on a symmetric graded Lie algebra, we arrive at the notion of an operator homotopy post-Lie algebra, together with its characterization in terms of Maurer-Cartan elements. A cohomology theory of post-Lie algebras is established, with an application to 2-term skeletal operator homotopy post-Lie algebras.
报告人简介：
唐荣，吉林大学师资博士后，2019年博士毕业于吉林大学，从事罗巴代数和代数结构形变理论方面的研究，在Comm. Math. Phys.，J. Algebra，J. Geom. Phys.等杂志上发表论文多篇。
