学术报告1
时间：2021.5.19（周三），15:00-16:00
腾讯会议：437925918
https://meeting.tencent.com/s/MP9Ij1FFbwR9
报告题目：Rota-Baxter Turaev's Hopf group (co)algebras
摘要：We find the natural compatible condition between Rota-Baxter operators and Turaev's (Hopf) group-(co)algebras, which leads to the concept of Rota-Baxter Turaev's (Hopf) group-(co)algebra. Two characterizations of Rota-Baxter Turaev's group-algebras (abbr. T-algebras) are obtained. The relations among some related Turaev's group algebraic structures (such as (tri)dendriform T-algebras, Zinbiel T-algebras, pre-Lie T-algebras, Lie T-algebras, etc) are discussed, and meanwhile some interesting examples from the algebras of dimensions 2,3 and 4 are given. At last we prove that Rota-Baxter Poisson T-algebras can produce pre-Poisson T-algebras.
报告人：马天水副教授河南师范大学
报告人简介：马天水，东南大学理学博士，东北师范大学博士后，现为河南师范大学数学学院副教授、硕士研究生导师。主要从事Hopf代数理论的相关研究，已在SCI收录杂志发表论文30余篇。主持或参与完成国家自然科学基金3项，欧盟FUSION项目1项，省部级项目多项。曾获得河南省优秀硕士毕业论文指导教师（2017年、2018年）、河南省高等学校青年骨干教师等荣誉称号。
学术报告2
时间：2021.5.20（周四），9:00-10:00
腾讯会议：813928859
https://meeting.tencent.com/s/1ImNmCCs9jK2
报告题目：A characterization of algebras generated by idempotents
摘要：This talk is based on a joint work with Hu Wei, in which we study how to test an algebra is generated by idempotents. For finite dimensional algebras over a field, it turns out that these algebras can be characterized by their irreducible modules homologically. Particularly, we obtain that a finite dimensional algebra over an algebraically closed field is generated by idempotents if and only if $\Ext_A^1(S,S)=0$ for all $1$-dimensional $A$-modules $S$.
报告人：肖占魁副教授华侨大学
报告人简介：肖占魁，华侨大学副教授，硕士生导师。2010年博士毕业于北京理工大学，研究领域包括：典型群与量子群的不变量理论；有限维代数的表示理论与组合（包含其在博弈、运筹等领域的应用）；非交换环理论与算子代数。曾与博士导师胡峻教授合作证明了（量子）辛群不变量理论的第二基本定理，在Sci. China Math.，Doc. Math.，J. Algebra，J. Pure Appl. Algebra等杂志上发表研究论文近30篇。
