作为倾斜理论的一个重要推广---Silting理论，是近年来比较热门的一个研究课题。倾斜理论中的许多结果在Silting理论中被证明也是正确的。比如，Bongartz 引理、任意一个cotilting模都是纯内射的、任意一个两项的倾斜复形都可以得到一个倾斜模等。本项目主要利用同调代数和导出范畴的方法对Silting理论进行讨论。主要从以下几方面进行着手：.1，研究Silting理论中Silting pair以及相对的AR对应；.2，研究范畴的Recollement与Silting理论之间的关系；.3，研究Silting理论中的结果在Cosilting理论中是否有更为完善的结论。

As an imprtant generalization of theTilting theory, the Silting theory is a hot research topics in recent years. Many results in the Tilting theory are proved to be correct in the Silting theory. For example, the Bongartz lemma and any a cotilting module are purely injective, and a tilting module can be obtained from a 2-term tilting complex and so on. This project mainly uses the method of the homology algebra and the derived category to study the Silting theory. Mainly from the following aspects:.1, we study the Silting pair and relative AR correspondence in Silting theory..2, the relationship between the Recollement of category and the Silting theory;.3, Whether the results in the Silting theory have a more perfect conclusion in the Cosilting theory