主持人：罗栗

报告人简介：景乃桓，美国北卡州立大学教授，作为客座教授多次访问美国伯克利数学研究所、德国波恩马普数学研究所、德国莱比锡马普应用数学所、京都大学数理研究所等著名数学中心。研究方向：代数学和数学物理（量子群和无限维李代数，表示论，代数组合）。曾获国家海外杰出青年基金（2008），2004-05年德国洪堡学者，2003年美国富尔布莱特学者等。


报告摘要： 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 MN 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.