报告题目:Murnaghan-Nakayama rule for Macdonald functions
报告人:景乃桓教授(美国北卡州立大学)
时 间:2024年6月12日16:30-17:30
地 点:理学院1-301
摘要:The classical Murnaghan-Nakayama rule for the symmetric group is an effective method to compute Schur functions and irreducible characters. We first review two q- Murnaghan-Nakayama rules for Hecke algebra and Hecke-Clifford algebra using vertex algebraic approach. We will then discuss our multi-parameter M-N rule for Macdonald polynomials, which contains the two q-M-N rules as special cases. The general M-N rule have several applications: an inversion of the Pieri rule of Hall-Littlewood functions and (q,t)- Kostka polynomials as well as a general procedure to compute Macdonald polynomials. This talk is joint work with Ning Liu.
报告人简介:景乃桓,美国北卡州立大学教授,德国洪堡学者,美国富尔布莱特学者。先后在美国普林斯顿高等研究院,密执安大学,堪萨斯大学和北卡州立大学等地工作或任教。主要在量子群、顶点代数、无限维李代数、代数组合等方面从事研究,在对称函数方面的研究成果被国际上命名为“景氏算子”。在国际数学刊物上发表100多篇论文,编辑著作五部。代表性杂志有:Invent.Math.,PNAS, Duke Math. J,Adv. Math.等。