摘要：
Algebraic Invariant Theory (AIT) is mainly concerned with the algebraic structure of an invariant ring F[W]^G that consists of all polynomials fixed by an algebraic group G over F acting linearly on the polynomial ring F[W]. We extend diagonally the actions of G on W and the dual space W^* to an action on the direct sum of finitely many copies of W and W^*. Vector invariant ring F[mW\oplus dW^*]^G is the main object of study in Classical Invariant Theory (CIT), where G denotes a classical group and F denotes the complex field or the real field.
In this talk we consider the modular cases, i.e., F=F_q denotes a finite field, G denotes a subgroup of the general linear group GL(W)=GL(n,F_q), and char(F_q) divides the order of G. We will present some development in modular invariant theory of vectors and covectors for finite classical groups.

报告人简介：
东北师范大学副教授；主要研究领域为：代数不变量理论（13A50）；在Journal of Algebra、Manuscripta Mathematica、Indiana University Mathematics Journal等杂志发表论文10余篇；具有代表性的研究成果为2017年与David L. Wehlau合作解决了模向量不变量理论中的Bonnafe-Kemper猜测。

邀请人：杜荣