范畴recollement是描述范畴“粘合”的基本工具，具有重要的研究价值。本项目围绕范畴recollement展开，主要内容包括：1、从（张量）三角范畴稳定性条件、素谱及环层空间等角度研究（张量）三角范畴recollement上三个范畴之间的关系；2、构建Abel范畴上recollement与三角范畴recollement之间的联系；3、将三角范畴的recollement推广到n角范畴上，并研究recollement上n个n角范畴的关系以及recollement关于范畴扩张的保持问题。以上研究，是利用recollement几何的“粘合”思想解决代数问题，是学科交叉前沿的进一步探索。

As a basic tool of glueing, recollement of categories is of great significance. This project is willing to take research on recollments of categories, which contains the following three parts: 1. discusses the relationship among the three (tensor) triangulated categories in recollements by stablity conditions, spectrums and ringed spaces; 2. establishes links between recollements of triangulated categories and recollements of abelian categories by taking stable categories and derived categories; 3. introduces recollement of n-angulated categories, which is the generalizaiton of recollement of triangulated categories, studies the relationships of the n's n-angulated categories and induces new recollement by the technique of extention of n-angulated category. The researches above deal with algebraic problems from the perspective of glueing in geometry, which are exploration of the interdisciplinary researches.