报告人：何济位教授

报告题目：Pre-resolutions of noncommutative isolated singularities

摘要：We introduce the notion of right pre-resolutions (quasi-resolutions) for noncommutative isolated singularities, which is a weaker version of quasi-resolutions introduced by Qin-Wang-Zhang. We prove that right quasi-resolutions for a noetherian bounded below and locally finite graded algebra with right injective dimension 2 are always Morita equivalent. When we restrict to a noncommutative quadric hypersurface A, we prove that if A is a noncommutative isolated singularity, then it always admits a right pre-resolution. Typical examples of noncommutative isolated singularity are twisted Segre products of Artin-Schelter regular algebras. We provide a method to verify whether a noncommutative quadric hypersurface is an isolated singularity.

报告时间：2022.4.1上午9：00-10：00             报告地点：腾讯会议：577-740-583

何济位简介： 杭州师范大学002cc白菜资讯教授，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002cc白菜资讯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)”，省高校优秀青年教师，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、中国科学等国内外期刊发表学术论文四十余篇。