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2018厦门大学代数表示论学术研讨会

发布时间:2018年12月06日 浏览次数:发布者:lzhx

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

1208

上午

主持人:陈清华

08:30-09:20

黄华林

华侨大学

On finite quasi-quantum groups   over finite abelian

groups

09:30-10:20

刘宏锦

龙岩学院

Wide subcategories and   generalized HRS-tilting

10:20-10:50

 茶歇

10:50-11:40

刘品

西南交通大学

Relative rigid objects in   triangulated categories

1208日下午

主持人:林亚南

14:00-14:50

刘玉明

北京师范大学

A note on simple-minded   systems over representation-finite self-injective algebras

15:00-15:50

高楠

上海大学

Lerner-Oppermann module   category

15:50-16:20

茶歇、合影

16:20-17:10

付昌建

四川大学

On cluster-tilting graphs   for hereditary categories

1209

上午

主持人:陈健敏

08:30-10:20

研究生论坛

10:50-11:40

研究生论坛

 

 

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.