报告时间：2022/10/18 13:30-14:30

腾讯会议：490-560-155

报告题目：Noncommutative Segre products

摘要：In noncommutative algebraic geometry, the analogue of projective space $\mathbb{P}^{n-1}$ is the quotient category $qgr-A := gr-A/tors-A$, where $A$ is a Noetherian $\mathb{ N}$-graded Artin-Schelter regular global dimension $n$, and $gr-A$ is the category of finitely generated graded right $A$-modules, $tors-A$ is the full subcategory of finite dimensional modules. In order to understand a noncommutative version of the classical Segre embedding of $\mathbb{P}^{n-1}\times \mathbb{P}^{m-1}\to \mathbb{P}^{nm-1}$, we introduced the notion of twisted Segre products of Noetherian $\mathbb{N}$-graded algebras. It is proved that the twisted Segre product of two Koszul Noetherian Artin-Schelter regular algebras is a graded isolated singularity. In the simplest case, the Cohen-Macaulay representations of twisted Segre products of $k[x,y]$ with itself are computed.

报告人简介：何济位，杭州师范大学yl23455永利教授、副经理，2004年毕业于浙江大学数学系，获博士学位。2004年9月至2012年02月先后在复旦大学yl23455永利和比利时安特卫普大学从事博士后研究工作。浙江省“151人才（第三层次）”，省高校中青年学科带头人。主持国家自然科学基金面上项目2项，青年基金1项，省部级基金4项。主要研究领域为非交换代数，在Trans AMS、J Noncommut Geom、Math Z、Israel J Math、J Algebra、中国科学等国内外重要期刊上发表学术论文30余篇。