标题：Hall polynomials of affine type
报告时间：2025年9月26日（星期五）9:30-10:30
报告地点：人民大街校区数学与统计学院104室
主讲人： 邓邦明
主办单位：数学与统计学院
报告内容简介：
Classical Hall polynomials introduced independently by Steinitz and Hall have a close relation with Hall-Littlewood functions and play important roles in the study of representations of symmetric groups and general linear groups. In the 1990s, Ringel defined Hall numbers for representations of quivers over finite fields and proved that in the Dynkin quiver case, Hall numbers are indeed integer polynomials of the cardinalities of ground fields. We prove that Hall polynomials exist for all hereditary algebras of affine type. This talk is based on joint work with Shiquan Ruan and Lina Han.
主讲人简介：
邓邦明，清华大学教授、博士生导师。曾获得德国洪堡基金，教育部高校青年教师奖，教育部自然科学一等奖等。主持国家基金委面上项目多项和重点项目。主要从事代数表示论与量子群的交叉研究。在Ringel-Hall代数、量子群和箭图表示等领域做出了一系列重要科研成果。研究成果发表于Comm. Math.Helvetici, Adv. Math., Trans. Amer. Math. Soc, Math.Z.等重要学术期刊。合作完成两本学术专著，分别由美国数学会与伦敦数学会出版。
