报告题目： Relations between Kontsevich-Witten tau-function,
Schur Q-polynomials, and W-type operators
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.