主讲人：白承铭教授（南开大学）

时　间：11月5日14:30

地　点：闵行校区数学楼102报告厅

主持人：罗栗 教授

报告内容介绍：

We generalize S. Gelfand's classical construction of a Novikov algebra from a commutative differential algebra to get a deformation family $(A,\circ_q)$ of Novikov algebras by an admissible commutative differential algebra, which ensures a bialgebra theory of commutative differential algebras, enriching the antisymmetric infinitesimal bialgebra. Moreover, a deformation family of Novikov bialgebras is obtained, under certain further condition. In particular, we obtain a bialgebra variation of S. Gelfand's construction with an interesting twist: every commutative and cocommutative differential antisymmetric infinitesimal bialgebra gives rise to a Novikov bialgebra whose underlying Novikov algebra is $(A,\circ_{-\frac{1}{2}})$ instead of $(A,\circ_0)$ which recovers the construction of S. Gelfand. This is the joint work with Yanyong Hong and Li Guo.

主讲人介绍：

白承铭，教授，南开大学副校长，陈省身数学研究所所长。主要从事与数学物理和李理论相关的一些代数体系的结构及其应用的研究。曾获国务院政府特殊津贴。