报告题目 (Title)：Murnaghan-Nakayama rule for Macdonald functions（Macdonald函数的Murnaghan Nakayama准则）
报告人 (Speaker)：景乃桓 教授（美国北卡州立大学）
报告时间 (Time)：2025年12月22日（周一）10:00-11:00
报告地点 (Place)：校本部GJ303
主办部门：太阳集团tyc539数学系
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.
