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Relative Defect Category

杨晓燕 教授(西北师范大学)
Monday, May 11th, 2020, 3:00 PM  Zoom 会议ID:653 3203 3384 密码:071202
 
报告人简介:杨晓燕,女,汉族,1980年2月出生。2009年在西北师范大学获得博士学位,同年留校任教。现为西北师范大学数学与统计学教授、博士生导师、兼任美国《Math Review》评论员。主要研究方向是环的同调理论。共完成学术论文30余篇。入选2013年度教育部“新世纪优秀人才支持计划”;主持完成青年科学基金项目1项;正承担地区科学基金项目1项;主持完成中国博士后科学基金项目1项;参与国家自然科学基金项目2项(排名分别为第三、第二);主持西北师范大学三期 “知识与科技创新”科研骨干培育项目一项。作为牵头人,荣获甘肃省高校科技进步二等奖2次,一等奖1次; 作为第一参与人, 荣获甘肃省自然科学三等奖1次。

报告内容简介:Firstly we introduce the Gorenstein AC derived category Dbgac(R) and obtain some triangle-equivalences related to Dbgac(R). Meanwhile, we define the Gorenstein AC singularity category Dbgacsg(R), as the Verdier quotient of Dbgac(R) by the triangulated subcategory Kb(GAC) and investigate some properties about Dbgacsg(R). Secondly we get another version of Buchweitz’s theorem by studying the stable category GAC consisting of Gorenstein AC-projective modules. Finally we define the Gorenstein AC defect category Dbgacd(R) and prove triangle-equivalence Dbgacd(R) =Dbgacsg(R). Moreover, an important description of Dbgacd(R) is given.

主持人:周国栋 副教授
   
 
 
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