江苏省应用数学（中国矿业大学）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：数学学院B301
报告时间：2023年06月20日（周二）上午09：00-11：00
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.