威尼斯人

报告地点：维格堂319

报告题目：Representations of Drinfeld Doubles of Radford Hopf algebras

扬州大学：陈惠香

摘要：In this article, we investigate the representations of the Drinfeld doubles $D(R_{mn}(q))$ of the Radford Hopf algebras $R_{mn}(q)$ over an algebraically closed field $\Bbbk$, where $m>1$ and $n>1$ are integers and $q\in\Bbbk$ is a root of unity of order $n$. Under the assumption ${\rm char}(\Bbbk)\nmid mn$, all the finite dimensional indecomposable modules over $D(R_{mn}(q))$ are displayed and classified up to isomorphism. The Auslander-Reiten sequences in the category of finite dimensional $D(R_{mn}(q))$-modules are also all displayed. It is shown that $D(R_{mn}(q))$ is of tame representation type.

报告题目：Some ideas to determine the primality of polyominoes

海南大学：郭锦

摘要：  Since all simple polyominoes are prime, it is interesting to detemine the primality of nonsimple polyominoes. In this talk, we introduce some background, some recent works, some ideas and some methods on this topic.

报告题目：New developments on the study of vertex decomposable graphs

海南大学：刘阿明

摘要：The vertex decomposable graph is an important object in combinatorial commutative algebra as it provides examples of shellable simplicial complex. Furthermore, the well-covered vertex decomposable graphs are Cohen-Macaulay. In the past decade, many vertex decomposable graphs have been characterized. In this talk, we provide some new classes of vertex decomposable graphs, and give some constructions of vertex decomposable graphs.}

报告题目： Modules over trivial ring extensions

南京工程学院：毛立新

摘要： It is well known that the class of trivial ring extensions covers Morita context rings with  zero bimodule homomorphisms, particularly, covers formal triangular matrix rings. We describe some important classes of modules over trivial ring extensions. As an application, we characterize properties of modules over Morita context rings with zero bimodule homomorphisms.

报告题目：分次伪代数，

浙江大学：吴志祥

摘要：在本次报告中，我将介绍分次伪代数一些基本知识，Hopf代数在伪代数上作用，以及自己在分次伪代数上一些研究成果。}

报告题目：Hopf algebra of weak quasisymmetric functions

西南大学： 喻厚义

摘要：In this talk, we will introduce a Hopf algebra structure on the space spanned by weak quasisymmetric functions. This gives the free commutative Rota-Baxter algebra a power series realization, in support of a suggestion of Rota that Rota-Baxter algebra should provide a broad context for generalizations of symmetric functions.