活动地点：CMS 201

活动类型：学术报告

主讲人：刘小博教授

活动时间：2016-07-26 10:00:00--2016-07-26 11:00:00

活动内容：

刘小博教授专题学术报告

报告题目：Connecting the Kontsevich-Witten and Hodge tau-functions by the Virasoro operators

报告人：刘小博 教授（北京大学）

时间：2016年7月26日（周二）上午10:00

地点：数学中心201教室

Abstract: 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.