From Integrable System to Hodge Integral and Back
主 题: From Integrable System to Hodge Integral and Back
报告人: Prof. Siqi Liu (Tsinghua University)
时 间: 2017-03-14 15:10 - 2017-03-14 17:10
地 点: Room 9, Quan Zhai, BICMR
\n\t\tWhen considering the\nclassification problem of integrable systems, we found a class of\ndeformations of the KdV hierarchy which contains infinitely many\nparameters. It is conjectured that this integrable hierarchy is just the\none that governs the generating function of all Hodge integrals. The\ngenerating function of special cubic Hodge integrals is much more\nimportant than the other cases, since it is related to the localization\ncomputation of Gromov-Witten invariants for a toric Calabi-Yau\nthreefold. We formulate a conjecture on the integrable hierarchy that\ngoverns it.