主讲人:杜杰 教授(澳大利亚新南威尔士大学)
主持人:罗栗 教授
时 间:2026年11月11日 10:00
地 点:数学楼102报告厅
报告内容介绍:
In 2008, we published a book in the same title by the American Mathematical Society. The theme of the book is to introduce two “H-approaches” from finite-dimensional algebras to quantum groups. The Hecke algebra approach to quantum groups was initiated by Beilinson-Lusztig-MacPherson in 1990, while the Hall algebra approach to quantum groups was invented by Claus M. Ringel in the same year. Since then, both approaches are developed greatly. I will start with some history since 1987 and will briefly mention how the research ties between the north and south of China were established. Contents of the book and some new developments since the book publication will also be discussed. As an example, I will talk about a recent completion of an uncovered structural connection between (finite) Hecke-Clifford superalgebras and (infinite) quantum queer supergroups.
主讲人介绍:
杜杰,澳大利亚新南威尔士大学教授。在Weyl群的胞腔分解、代数群,q-Schur代数、Ringel-Hall代数及量子群和量子超群等方面取得了一系列原创性的成果。相关成果发表在Adv. Math., Comm. Math. Phys., Int. Math. Res. Not., J. Reine Angew. Math., Math. Z., Proc. London Math. Soc., Trans. Amer. Math. Soc.等国际著名数学学术杂志上,与合作者编写专著2部,分别由美国数学会和伦敦数学会发表,曾担任多个数学类学术杂志编委。作为项目负责人多次获得澳大利亚基金委的资助。