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Toda-type lattices and their applications

发布日期:2020-11-19点击数:

报告人:李世豪 (墨尔本大学)

日期:202011月23日

时间:15:00开始

地址:理科楼LA106


摘要:Fifty years ago, Morikazu Toda considered the interactions between the neighbouring lattices of the string by the exponential potential and found the celebrated Toda lattice. Later on, its classical integrability and explicit solutions were obtained and many applications of the Toda lattice were made. Its interplays with the orthogonal polynomials, matrix models and 2d gravity have attracted many scholars' attention.Besides, it relates to many branches of mathematical theories such as integrable geometry, integrable combinatorics, integrable probability and so on. In this talk, I will firstly discuss about the integrable property of the Toda lattice and its connections with other subjects, then give a brief introduction to my own works, mainly on the discoveries about the other types of Toda lattices as well as their interplays with other subjects.


简介:李世豪,博士毕业于中国科学院数学与系统科学研究院。现在墨尔本大学从事博士后研究工作。


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