2018厦门大学代数表示论学术研讨会

海韵园数学物理大楼661

学术报告题目与摘要

1. 报告人：黄华林，华侨大学

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.

2. 报告人：刘宏锦，龙岩学院

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.

3. 报告人：刘品，西南交通大学

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.

4. 报告人：刘玉明，北京师范大学

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.

5. 报告人：高楠，上海大学

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.

6. 报告人：付昌建，四川大学

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.