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数学学科离散数学研究所学术报告(何济位 杭州师范大学)

发布者:付慧娟   发布时间:2020-05-18  浏览次数:168

报告题目:Noncommutative pre-resolutions of noncommutative isolated singularities

报 告人:   何济位 教授 杭州师范大学

报告时间:2020520  上午11:00-12:00


摘要:In this talk, I will 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. Right quasi-resolutions for noetherian bounded below and locally finite graded algebra with right injective dimension 2 are always Morita equivalent. It is also proved that a noncommutative isolated singularity always  admits a right pre-resolution. Besides,  a method to verify whether a noncommutative quadric hypersurface is an isolated singularity is provided. An example of noncommutative quadric hypersurfaces with detailed computations of indecomposable maximal Cohen-Macaulay modules and right pre-resolutions is included as well.


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