报告时间：5月12日19:00开始

报告地点：腾讯ID：588 537 859

主办单位：数学与统计学院

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  报告1：Rota's Program on Algebraic Operators，高兴，兰州大学教授，时间19:00；

  报告摘要：Many years ago, Rota proposed a program on determining algebraic identities that can be satisfied by linear operators. After an extended period of dormant, advancement on this program picked up speed in recent years, thanks to progresses on operated algebras and Gröbner-Shirshov bases. The advancement was achieved in a series of papers from special cases to more general situations. This progresses show that Rota's insight can be manifested very broadly, for other algebraic structures such as Lie algebras, and further in the context of operads. This talk gives a survey on the motivation, early developments and recent advances on Rota's program, for linear operators on associative algebras and Lie algebras. Emphasis will be given on the applications of rewriting systems and Gröbner-Shirshov bases.

  报告2：Weighted Infinitesimal Bialgebras and Associative Yang-Baxter Equations，张毅，南京信息工程大学讲师，时间20:00。

  报告摘要：As an algebraic meaning of the nonhomogenous associative Yang-Baxter equation, weighted infinitesimal bialgebras play an important role in mathematics and mathematical physics. In this talk, we introduce the concept of weighted infinitesimal Hopf modules and show that any module carries a natural structure of weighted infinitesimal unitary Hopf module over a weighted quasitriangular infinitesimal unitary bialgebra. Some recent developments of associative Yang-Baxter equations will also be discussed.

  高兴，博士，兰州大学“萃英学者”教授、博士生导师。于2010年7月在兰州大学数学与统计学院获得博士学位，留校工作至今，在2015年8月至2016年8月间，在美国Rutgers大学交流访问。主要从事Rota-Baxter代数和代数组合等领域的研究，在Journal of Algebra、Journal of Pure and Applied Algebra、J.Algebraic Combin. 等国际期刊上发表SCI学术论文四十余篇。主持数学天元基金、青年科学基金、国家自然科学基金面上项目和甘肃省自然科学基金项目, 获甘肃省自然科学奖二等奖，出版教材一本。

  张毅，博士，南京信息工程大学讲师。于2020年8月毕业于兰州大学数学与统计学院，获得理学博士学位，2019年8月--2020年8月受国家留学基金委(CSC)资助，在美国南加州大学数学系联合培养，合作导师是Susan Montgomery教授。研究领域是代数表示理论，代数组合，Rota-Baxter 代数与Hopf 代数。目前以第一作者或通讯作者身份在J. Algebra，Pacific J. Math.，J. Algebraic Combin.，Comm. Algebra，Linear Multilinear Algebra，Internat. J. Algebra Comput.，Bull. Belg. Math. Soc.等国际行业主流杂志发表论文十余篇。