报告人:谢远成
报告地点: 数学与统计学院 二楼会议室
报告时间:2023年12月2日星期六10:20-11:05
邀请人:刘杰锋
报告摘要:
In 1967, Japanese physicist Morikazu Toda proposed an integrable lattice model tod escribe motions of a chain of particles with exponential interactions between nearest neighbors. Since then, Toda lattice and its generalizations have become the test models for various techniques and philosophies in integrable systems and wide connections are built with many other branches of mathematics. In this talk, I will characterize singular structure of solutions of the so-called full Kostant-Toda (f-KT) lattices defined on simple Lie algebras in two different ways: through the taufunctions and through the KowalevskiPainleve analysis. Fixing the spectral parameters which are invariant under the f-KT flows,we build a one to one correspondence between solutions of the f-KT lattices and points in the corresponding flag varieties.
主讲人简介:
谢远成博士,目前是北京大学国际数学中心的博士后,2021年在Ohio 州立大学取得博士学位,师从国际可积系统专家Yuji Kodama。谢远成博士当前感兴趣的研究方向是可积系统及相关代数和几何问题。