丘成桐中心几何与方程讨论班
SEU Yau Center Geometry and PDE Seminar
杨成浪 学术报告
Title: Relations between Kontsevich-Witten tau-function, Schur Q-polynomials, and W-type operators
Speaker: Chenglang Yang（杨成浪）
Affiliation：Peking University （北京大学）
Time: 14:00-15:00, May 31st (Wed.), 2023 (GMT+8)
Venue: Room 1502, Yifu Architecture Building, Sipailou Campus of Southeast University, Nanjing
（东南大学四牌楼校区逸夫建筑馆丘成桐中心1502室）
Inviter: Jun Wang（王俊）
Abstract:
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.
Speaker:
杨成浪，北京大学数学系2018级博士生，师从刘小博教授。杨成浪博士主要研究方向为数学物理，包括Gromov-Witten不变量，可积系统以及Schur Q-多项式等研究；已在Adv. Math，Lett. Math. Phys.等杂志发表多篇论文。