报告人: 景乃桓 （北卡州立大学）

报告时间：2025年12月27日（周六）、28日（周日） 上午9:00-12:00

报告地点：国交二号楼201会议室

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 has 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.