报告题目：Some linear algebra theories over semirings

报 告 人：舒乾宇教授（四川师范大学）

报告时间：2026年6月6日（星期六）上午8:30-9:30

报告地点：数学大楼911

参加人员：教师、研究生

报告摘要：The semiring first appears implicitly from Ref. in 1894, and later a large amount of literatures have been devoted to investigate this emerging field. Gradually, the semiring has evolved to be an essential tool in the applied mathematics and theoretical computer science. In specific, solving the application problems necessitates consideration of linear equations over the semiring, where, clearly, the relevant matrices and linear algebra are critical important.This talk primarily presents some advancements of my group in the research of semiring, including the cardinality of semimodules, the rank of matrices, and their applications.

报告人简介：舒乾宇，四川师范大学教授，博士生导师，《Fuzzy Information and Engineering》、《模糊系统与数学》编委。主要研究方向包括半环上的同调理论、神经网络训练中的线性代数理论、稀疏重构算法以及不确定性问题优化建模等，近年来以第一作者、通讯作者在《J.Algebra》、《IEEE Trans. Fuzzy Syst.》、《Fuzzy Set Syst.》、《IEEE Trans. Circuits Syst. Video Technol.》、《SIAM J.Imaging Sci》、《Signal Process.》等杂志发表论文40余篇。曾主持国家自然科学面上项目、国家自然科学基金重点项目子课题、四川省杰出青年基金等项目共7项。