报告题目：Moment matrix and C-Toda lattice hierarchy

报告人：虞国富 教授, 上海交通大学

时间：11月1日（周二）下午16:00-17:30

腾讯会议：572-283-2445    会议密码：123456

摘要：In this talk, we focus on the reduction of the 2-dimensional Toda hierarchy. Based on the Gauss-Borel decomposition of the moment matrix and the time evolution,  we construct the Lax representation. Symmetric moment matrices are considered that lead to the differential relations between symmetric tau functions and 2d-Toda’s tau function. Motivated by the Cauchy two-matrix model, we study the rank one shift condition in the symmetric case, from which the C-Toda lattice hierarchy is found with the special Lax matrices and intergrable structure. This is a joint work with Shi-Hao Li.