On finite quasi-quantum groups over finite abelian
Wide subcategories and generalized HRS-tilting
Relative rigid objects in triangulated categories
A note on simple-minded systems over representation-finite self-injective algebras
Lerner-Oppermann module category
On cluster-tilting graphs for hereditary categories
题目：On finite quasi-quantum groups over finite abelian groups
摘要：We will report some results on constructions and classifications of finite quasi-quantum groups over finite abelian groups. The talk is based on a series of recent joint works with Gongxiang Liu, Yuping Yang and Yu Ye.
题目：Wide subcategories and generalized HRS-tilting
摘要：Let T be a silting object of triangulated category C with arbitrary coproduct, and
U2T-presiltC. We define the wide subcategory WT(U) of HT, where HT is the heart of t-structure induced by T. We show that there is a bijection between the special intermediate t-structure and the torsion pair in WT(U), which generalizes the HRS’s result. As an application, we obtain the Jasso’s reduction theorem of torsion classes.
题目：Relative rigid objects in triangulated categories
摘要：In this talk, we report on relative rigid objects. We will explain how those bijections involving support $\tau$-tilting modules are unified. This work is joint with C. Fu and S. Geng.
题目：A note on simple-minded systems over representation-finite self-injective algebras
摘要：By generalizing Dugas’ torsion-pair theory in stable module category we give a simple description on simple-minded systems over representation-finite self-injective algebras. As an application, we give a direct construction of simple-minded systems over self-injective Nakayama algebras. This is a joint work with Jing Guo, Yu Ye and Zhen Zhang.
题目：Lerner-Oppermann module category
摘要：In the talk, we will provide the algebraic description of the category constructed by Lerner and Oppermann in their study on GL orders, and its completion.
题目： On cluster-tilting graphs for hereditary categories
摘要：Let $\mh$ be a connected hereditary abelian category with tilting objects. It is proved that the cluster-tilting graph associated to $\mh$ is always connected. As a consequence, we establish the connectedness of the tilting graph for the category $\coh\X$ of coherent sheaves on a weighted projective line $\X$ of wild type. The connectedness of tilting graphs for such categories was conjectured by Happel and Unger, which has immediately applications in cluster algebras. This is a joint work with Shengfei Geng.