Images of differential operators and derivations
报告题目(Title):Images of differential operators and derivations
报告人(Speaker):孙晓松教授 (吉林大学数学学院)
地点(Place):腾讯会议号: 715 3412 7742
时间(Time):2021年11月25日下午14:30-15:30
邀请人(Inviter):BNU表示论团队
报告摘要
The algebraic theory of derivations plays an important role in the research of some problems in affine algebraic geometry, for example the Hilbert’s 14th problem, cancellation problems for affine varieties, and the Jacobian conjecture. In this talk, we focus on the problem of whether the images of certain differential operators and derivations are the so-called Mathieu-Zhao subspaces (a generalization of ideals); this problem arose from the Jacobian conjecture. We will introduce the known results and some of our recent work on this problem.