The recollements of purity
报告人：扶先辉教授（东北师范大学）
报告时间：2022年4月15日9：00-10：00
腾讯会议号：478-608-093
会议链接：
https://meeting.tencent.com/dm/iEe5eImWVvca
报告摘要：
The theory of purity for modules over a ring R has been studied using the covariant as well as the contravariant functor categories. In their work on quiver Grassmanians, Crawley-Boevey and Sauter introduced a third such category, the projective quotient functor category. We will explain how these three functor categories are related to the three equivalent definitions of purity.
Each of these functor categories may be regarded as the middle term of a recollement of abelian categories whose localization/colocalization is given by the category R-Mod of R-modules. We will describe the basic theory of recollements of functor categories.
This talk is based on a joint paper with Ivo Herzog.
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