*主讲人：黎允楠 副教授（广州大学）

*主持人：周国栋 副教授            

*时间：2020年11月11日14：00

*地点：腾讯会议ID：124333789 

*讲座内容简介：

As a fundamental notion, the free differential algebra on a set is concretely constructed as the polynomial algebra on the differential variables. Such a construction is not known for the more general notion of the free differential algebra on an algebra, from the left adjoint functor of the forgetful functor from differential algebras to algebras, instead of sets. In this talk we show that generator-relation properties of a base algebra can be extended to the free differential algebra on this algebra. More precisely, Gr?bner-Shirshov basis property of the base algebra can be extended to provide a Poincaré-Birkhoff-Witt type basis for these more general free differential algebras. Examples are given as illustrations. This is joint work with Li Guo. 

*主讲人简介：

  黎允楠，男，副教授，硕士生导师，1985年3月生于广东广州，研究方向为李代数、量子群与代数组合，现与合作者在国际知名数学期刊Mathematische Zeitschrift, Journal of Combinatorial Theory, Series A., Journal of Algebra, Journal of Algebraic Combinatorics等发表论文数篇，并顺利完成国家自然科学基金青年基金项目，主持国家自然科学基金面上项目1项（已获批），参与1项（在研）。2015年成为美国数学会数学评论网评论员，也曾受邀为Advances in Mathematics, European Journal of Combinatorics, Journal of Algebraic Combinatorics, The Ramanujan Journal等国际知名数学期刊审稿。