线上学术报告

Title: Cohomological functors, symmetric duality pairs and Gorenstein derived categories

Speaker: 高楠 教授（上海大学）

Abstract

The duality and duality pair are very general. We investigate the existence of them for the Gorenstein derived category. The crucial tools are the cohomological functors and Gorenstein silting complexes. On one hand, via the categories of locally finite cohomological functors, we provide a duality between the bounded Gorenstein derived category of modules and the bounded homotopy category of Gorenstein projective modules for finite dimensional virtually Gorenstein algebras of finite CM-type. On the other hand, we introduce the definition of Gorenstein silting complexes in the unbounded Gorenstein derived category and prove that this class of complexes can generate a symmetric duality pair.

报告人简介：高楠，上海大学数学系教授、博士生导师、上海大学数学与编码密码研究所所长、上海大学“三八红旗手”。在Comm. Contem. Math.、J. Algebra等国际知名学术期刊上发表了学术论文30余篇，多次受邀在国内外重要学术会议上做报告，如第9届世界华人数学家大会45分钟邀请报告、中日韩环论国际会议大会报告、全国代数学学术会议45分钟邀请报告等；主持2项国家自然科学基金面上项目。

北京时间：2022年11月4日（周五）上午10:10-11:10

腾讯会议：719-916-392   会议密码:  202211

联系人:    惠昌常 陈红星