陈建功大讲堂——代数讲坛（2022-3）

摘要：It is well known that there is a nice connection between artin algebras of finite representation type and Auslander algebras. For Auslander algebras, the category of all projective modules is an abelian category and so there is a close relationship between the abelianness of this category and being of finite representation type. Now let $ n $ be a positive integer. To get a higher dimensional analog of this connection, we characterize $ n $-Auslander algebras by the abelianness of the category of all modules with projective dimension less than $ n $ and then by higher Auslander correspondence we obtain a new characterization of the class of artin algebras having $ n $-cluster tilting modules.  We also present a Gorenstein analog of this result. This talk is based on a joint work with Mohammad Keshavarz.

讲座时间：2022年3月24日（周四）下午2点30-3点30

讲座地点：腾讯会议：157-103-189  会议密码：112333

主讲人：周国栋

主讲人简介：周国栋，华东师范大学数学科学学院教授，博士毕业于法国亚棉大学，师从著名代数学家Alexander Zimmermann教授。主要研究领域为代数表示论与同调代数。完成国家自然科学基金青年基金、上海市浦江人才计划项目、教育部博士点新教师基金，主持在研国家自然科学基金面上项目两项，其学术成果发表在 J. London Math. Soc.、Math. Z.、Trans. Amer. Math. Soc.、IMRN、J. Algebra、J. Noncommut. Geom. Proc. Royal Edinburgh Soc. Section A: Math.等国际著名期刊上。 目前主要学术兼职有美国数学评论员与欧洲数学会评论员。