Some constructions of abelian or triangulated categories
（阿贝尔范畴或三角范畴的一些构造）
报告专家：朱彬（清华大学）
报告时间：7月17日 14:00-15:00
报告地点：国家天元数学西南中心516报告厅
报告摘要：Abelian categories and triangulated categories are two fundamental structures in mathematics. The semisimple categories are the only categories whichare abelian and triangulated. One can form complexes from abelian categories to get homotopy categories, and then derived categories by localization, which are triangulated. One can also get abelian categories by forming the hearts of t-structures in the triangulated categories.
In this talk, we will recall the classical constructions of abelian or triangulated categories, and then to survey the "new" constructions which arising from the study of cluster tilting theory and cluster algebras.
![[lecture]0710代数方向--朱彬-01.png](http://tianyuan.scu.edu.cn/upload/default/20230709/%5Blecture%5D0710%E4%BB%A3%E6%95%B0%E6%96%B9%E5%90%91--%E6%9C%B1%E5%BD%AC-01.png "[lecture]0710代数方向--朱彬-01.png")