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金沙7727赌城网站学术报告预告
编辑:www.7727.com  发布时间: 2019-05-09 浏览次数: 13

报告题目:sTilting modules over Auslander Gorenstein algebras

报告人:张孝金(南京信息工程大学副教授)

报告时间:2019512日(周日)上午10:00

报告地点:金沙7727B403

报告摘要:For a finite-dimensional algebra A and a nonnegative integer n, we characterize when the set tiltn A of additive equivalence classes of tilting modules with projective dimension at most n has a minimal (or equivalently, minimum) element. This generalizes results of Happel and Unger. Moreover, for an n-Gorenstein algebra A with n>= 1, we construct a minimal element in tiltn A.  As a result, we give equivalent conditions for a k-Gorenstein algebra to be Iwanaga–Gorenstein. Moreover, for a 1-Gorenstein algebra A and its factor algebra B=A/(e), we show that there is a bijection between tilt1A and the set st-tilt B of additive equivalence classes of basic support tau-tilting B-modules, where e is an idempotent such that eA is the additive generator of the category of projective-injective A -modules.

专家概况:张孝金,博士,南京信息工程大学数学与统计学会副教授,主要研究领域为同调代数和代数表示论中的高维AR-理论和tau-倾斜理论。先后多次访问过德国的Bielefeld大学,日本的Nagoya大学等国际著名大学,主持国家自然科学基金青年项目1项,并参与多项国家自然科学基金的研究,已在Journal of Algebra, Science China Mathematics, Osaka Journal of Mathematics, Journal of Austrian Mathematical Society等数学国际知名杂志上发表论文10余篇。


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