陈建功大讲堂——代数讲坛（2022-4）

报告题目：Virtually Gorenstein rings and relative homology of complexes

报告人：狄振兴 （西北师范大学）

报告时间：2022年4月14日（周四）下午14:30

报告地点：勤园21-306，腾讯会议：388-670-774

摘要：In this talk we extend the notion of virtually Gorenstein rings to the setting of arbitrary rings and prove that all rings of finite Gorenstein weak global dimension are virtually Gorenstein. Over a virtually Gorenstein ring, we introduce the notion of relative homology functors of complexes with respect to Gorenstein projective (resp., flat) modules, and give a vanishing and a balance result for this homology. This talk is based on a joint work with Li Liang and Junpeng Wang.

个人简介：狄振兴，现为西北师范大学副教授，博士生导师。主要从事环的同调理论与代数表示理论的研究工作。主持国家自然科学基金青年基金项目和面上项目。迄今在《Proceedings of the Royal Society of Edinburgh Section A: Mathematics》、《Journal of Algebra》、《Journal of Pure and Applied Algebra》等刊物发表论文二十余篇。