学术活动
Connecting the Kontsevich-Witten and Hodge tau-functions by the Virasoro operators
2015-05-14
来源:科技处 供稿:冀俊宇 点击次数:
主 讲 人:刘小博 教授(北大国际数学中心)
时 间: 2015年5月14日(周四)16:00-17:00
地 点: 必赢76net线路官网北二区教学楼 517 教室
主 办 单 位: 必赢76net线路官网数学科学学院
内 容 介 绍:Kontsevich-Witten tau-function and the Hodge tau-function are generating functions for two types of intersection numbers on moduli spaces of stable curves. Both of them are tau functions for the KP hierarchy. In this talk, I will describe how to connect these two tau-functions by differential operators belonging to the $/widehat{GL(/infty)}$ group. Indeed, these two tau-functions can be connected using Virasoro operators. This proves a conjecture posted by Alexandrov. This is a joint work with Gehao Wang.
时 间: 2015年5月14日(周四)16:00-17:00
地 点: 必赢76net线路官网北二区教学楼 517 教室
主 办 单 位: 必赢76net线路官网数学科学学院
内 容 介 绍:Kontsevich-Witten tau-function and the Hodge tau-function are generating functions for two types of intersection numbers on moduli spaces of stable curves. Both of them are tau functions for the KP hierarchy. In this talk, I will describe how to connect these two tau-functions by differential operators belonging to the $/widehat{GL(/infty)}$ group. Indeed, these two tau-functions can be connected using Virasoro operators. This proves a conjecture posted by Alexandrov. This is a joint work with Gehao Wang.