Seminar on Discrete Mathematics: A multi-parameter Murnaghan-Nakayama rule for Macdonald polynomials and its applications

：刘宁（华南理工大学）
：2024-01-24 10:00
：海韵园数理大楼686会议室

报告人：刘宁（华南理工大学）

时  间：2024年1月24日10:00

地  点：海韵园数理大楼686会议室

内容摘要:

In this talk, we will start by the classical Murnaghan-Nakayama rule for the symmetric group. Subsequently, we will review briefly two q- Murnaghan-Nakayama rules for Hecke algebra and Hecke-Clifford algebra. After that, we introduce our main result: a multi-parameter M-N rule for Macdonald polynomials, which will specialize to the two q-M-N rules mentioned above. Fi- nally, we will take account into some applications of our multi-parameter M-N rule to an inversion of the Pieri rule of Hall-Littlewood functions and (q,t)- Kostka polynomials. If time permits, an application to the Petrie functions found recently will also be discussed. This talk is based on the joint work with Naihuan Jing.  

个人简介：

刘宁，华南理工大学2021级博士生，导师是景乃桓教授，目前在维也纳大学联合培养，导师是Christian Krattenthaler教授。研究方向为代数组合，主要是利用对称函数及其顶点算子计算不可约特征标。目前在IMRN, J. Algebra, J. Pure Appl. Algebra, Pacific J. Math等杂志发表数篇论文。 

 

联系人：靳宇