报告题目:Tau function of C-Toda lattice and Cauchy two-matrix model

报告人：李世豪

报告时间：10月15日上午10：40-11:20

报告地点：健A105

报告题目：Tau function of C-Toda lattice and Cauchy two-matrix model

报告人：李世豪

时间：10月15日上午10：40-11:20

地点：健A105

Abstract:

Matrix models and Toda-type lattices have been an intriguing topic for years. In this talk, I'd like to present a novel Toda-type lattice which was found during the studies of the Cauchy two-matrix model. With the help of Cauchy bi-orthogonal polynomials, the Lax pair of the Toda-type lattice is provided and thus presents the integrability. Moreover, I'd like to show an integrable discretization of this lattice by the Hirota's method and give a determinant solution to the discrete CKP equation. If time is permitted, I'd like to demonstrate how to obtain the C-Toda hierarchy from the 2d-Toda hierarchy. Some ongoing projects will be illustrated at the end.

个人简介：

李世豪，2018年于中国科学院数学与系统科学研究院获得理学博士学位，博士期间荣获国家奖学金，博士论文获得新世界优秀提名奖。博士毕业后在墨尔本大学从事博士后研究。专业方向为数学物理，尤其是可积系统，随机矩阵理论与特殊函数理论的研究。研究结果发表在Comm. Math. Phys., Adv. Math., Trans. AMS, IMRN, J. Nonlinear Sci., Nonlinearity, J. Diff. Equations等期刊上。