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

## Meeting Details

For more information about this meeting, contact Ping Xu, Eyal Subag, Nigel Higson, Mathieu Stienon.

Speaker: Xiaobo Liu, Peking University

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 $GL(\infty)$ 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.

## Room Reservation Information

Room Number: 106 McAllister

Date: 08/23/2016

Time: 2:35pm - 3:30pm