Singularity Categories of Bäckström Orders
2025年9月24日,周三,10:00-11:00
讲座题目:Singularity Categories of Bäckström Orders
讲座时间 Datetime: 2025年9月24日,周三,10:00-11:00
地点 Venue: 中大珠海校区海琴二号A412-2
主持人 Host:黄敏 副教授
报告人 Speaker: 卫鸿睿 博士生
单位 Affiliation: 东京大学
报告摘要 Abstract:
Bäckström orders are a class of algebras over complete discrete valuation rings. Their Cohen-Macaulay representations are in correspondence with the representations of certain quivers/species by Ringel and Roggenkamp. In this paper, we give explicit descriptions of the singularity categories of Bäckström orders via certain von Neumann regular algebras and associated bimodules. We further provide singular equivalences between Bäckström orders and specific finite dimensional algebras with radical square zero. We also classify Bäckström orders of finite global dimension, as well as Gorenstein, Iwanaga-Gorenstein and sg-Hom-finite Bäckström orders.(arXiv:2505.11220)
报告人简介:
卫鸿睿目前是东京大学的研究生,2019-2023年就读于中山大学数学学院(珠海)并取得学士学位。

