报告地点:行健楼学术活动室665
报告摘要:
Localization sequences of (small or big) triangulated categories have been widely applied in representation theory, algebraic K-theory, algebraic geometry, algebraic topology and so on. In the literature, there are many localization theorems for triangulated categories, such as the Thomason-Trobaugh-Neeman localization theorem for compactly generated triangulated categories, the Jin-Yang-Zhou localization theorem for singularity categories and the Sun-Zhang-Zhang localization theorem for approximable triangulated categories (introduced and developed by A. Neeman). Our aim in the talk is to introduce a new class of localization sequences of Verdier quotients of stable infinity categories.
个人简介:陈红星,首都师范大学博彩论坛
教授,德国洪堡学者。2021年获国家自然科学基金优秀青年科学基金,曾获教育部学术新人奖,入选北京市科技新星计划,作为主要成员参与两项国家自然科学基金重点项目和一项北京市教育委员会科技计划重点项目。主要从事代数表示论和同调代数的研究,在经典同调猜想(如Nakayama猜想和Tachikawa第二猜想)、导出范畴、无限维倾斜理论等方面取得了一系列的研究成果,彻底解决了关于导出模范畴Jordan-Holder定理存在性问题,并系统建立了无限维倾斜模的导出粘合理论。研究成果发表于Compos.Math., Proc.Lond.Math.Soc., Trans.AMS, J.Algebra等国际知名数学杂志。