Reducing Homological Conjectures by n-Recollements
发布人: 曹思圆   发布时间: 2019-03-04   浏览次数: 25

报告人: 秦永云博士(曲靖师范学院)

时间: 2019年2月20号下午13:30-14:30

地点:数学楼126室

邀请人:周国栋


摘要: n-recollements of triangulated categories and n-derived-simple algebras are introduced. The relations between the n-recollements of derived categories of algebras and the Cartan determinants, homological smoothness and Gorensteinness of algebras respectively are clarified. As applications, the Cartan determinant conjecture is reduced to 1-derived-simple algebras, and the Gorenstein symmetry conjecture is reduced to 2-derived-simple algebras.

报告人简介: 秦永云博士2015年博士毕业于中科院, 导师韩阳研究员,现为曲靖师范学院讲师。主要研究导出范畴与同调猜想的约化。