Relations between Kontsevich-Witten tau-function, Schur Q-polynomials, and W-type operators

发布者:王丹丹发布时间:2023-06-19浏览次数:325

江苏省应用数学(williamhill威廉希尔官网)中心系列学术报告

报告题目: Relations between Kontsevich-Witten tau-function,

Schur Q-polynomials, and W-type operators

报告人:杨成浪(北京大学数学科学学院)

报告形式:英国威廉希尔唯一官网B301

报告时间:20230620日(周二)上午0900-1100

报告摘要:The KW tau-function is the generating function of intersection numbers over the moduli spaces of stable curves. It is a tau-function of the KdV hierarchy and has matrix model description, in physics, which is related to the 2D topological gravity. The Schur Q-polynomials are related to the projective representations of symmetric groups, and are polynomial tau-functions of the BKP hierarchy. The W-type operators are realizations of some infinite dimensional Lie algebras and play important role in Mathematical Physics. In this talk, I will review them and introduce some relations between them. This talk is based on joint works with Professor Xiaobo Liu.