Academic Reports (On Friday)——The Loop Equation for Integrable Hierarchies and their Applications
主 题: Academic Reports (On Friday)——The Loop Equation for Integrable Hierarchies and their Applications
报告人: Siqi Liu (Tsinghua University)
时 间: 2017-12-01 15:00-16:00
地 点: Room 1114, Sciences Building No. 1
Abstract: Many integrable hierarchies possess linearizable Virasoro symmetries. By considering the generating function of all Virasoro symmetries, one can obtain the loop equation of an integrable hierarchy, which determines the corresponding free energy uniquely. I will take the KdV hierarchy as an example to explain the basic idea of loop equation, then give some applications of this equation in the Gromov-Witten invariants and Hodge integrals.