中央研究院數學研究所

Seminar in Representation Theory

Learning Seminar on MacDonald Polynomials: Symmetric Functions II

2024/07/03 (Wed.) 13:30~15:00

日期 : 2024/07/03 (Wed.) 13:30~15:00
地點 : 中研院數學所 638研討室 (台大校區)
主講人 : 劉士瑋 (本所)
籌辦人 : 賴俊儒 (本所)
演講摘要 : In this first two talks of the learning seminar, we will review basics of the theory of symmetric functions. More specifically, we will introduce various families of symmetric functions, the plethystic operations and the relation with representations of symmetric groups. We will talk about deformations of symmetric functions, such as Hall–Littlewood polynomials. The goal is to introduce the Macdonald polynomials and the positivity conjecture.