学术活动

学术活动

Connecting the Kontsevich-Witten and Hodge tau-functions by the Virasoro operators

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.
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