Two-Sided Linear Quaternionic Equations: History, Structure, and the Discriminant Space Method

报告主题：Two-Sided Linear Quaternionic Equations: History, Structure, and the Discriminant Space Method

报告时间：2026-05-07 15:00

报告地点：1C207

专家姓名：赵开明

专家简介：赵开明，加拿大Wilfrid Laurier大学教授。1991年获中国科学院数学博士学位，先后在美国威斯康辛大学、加拿大滑特鲁大学等多所世界著名大学从事博士后研究，现任加拿大罗瑞尔大学大学终身教授、博士生导师。1999年入选中国科学院“百人计划”，并获得加拿大罗瑞尔大学研究教授荣誉，兼任中国科学院数学与系统科学研究院研究员、博士生导师，中国科学院“引进国外杰出人才”，《数学进展》、《代数与数论中的发现》、《国际数学与数学科学》等杂志编委。

报告内容：In this talk, a method to solve two-sided linear quaternionic equations will be given by introducing a new concept: discriminant space. We provide the sufficient and necessary criteria for the existence of the solutions and a method to obtain all solutions efficiently. Furthermore, the similar theories are established for systems of general two-sided linear quaternionic equations, and two-sided linear quaternionic equations with conjugate. This is based on a joint paper with Yulu Chen, Bowen Liu and Bin Wang.