02-18【Izuru Mori】管理楼1318 吴文俊重点实验室代数学系列报告之259

发布者:卢珊珊发布时间:2025-02-17浏览次数:275


报告题目: Noncommutative matrix factorizations and noncommutative Knorrer's periodicity


报告人: Izuru Mori, Shizuoka University, Japan


报告时间:2月18日 15:00


报告地点:管理科研楼1318

 

摘要:

Matrix factorizations and Knorrers periodicity are very useful to study Cohen-Macaulay representation theory over hypersurfaces in commutative ring theory. To study noncommutative quadric hypersurfaces, we extend a notion of matrix factorization to noncommutative algebras and prove a certain version of Knorre's periodicity for noncommutative quadric hypersurfaces. This talk is based on a joint work with Ueyama.