Integrable Systems for Coadjoint Orbits of Classical Lie Algebras
发布时间：2021年04月05日
浏览次数：5768
发布者: He Liu
主讲人： Yanpeng Li (University of Toronto)
活动时间： 从 2021-04-06 16:00 到 17:00
场地： 北京国际数学研究中心，全斋全29教室
The problem of constructing global action-angle variables on coadjoint orbits of compact Lie groups is one of the interesting questions in the theory of integrable systems. A fundamental contribution was made by Guillemin-Sternberg who constructed the Gelfand-Zeitlin integrable systems on coadjoint orbits of the groups SU(n) and SO(n).
In this talk, I will present a new approach of constructing global action-angle coordinates for coadjoint orbits of classical Lie algebras. It combines the results of Ginzburg-Weinstein on the theory of Poisson-Lie groups and the theory of cluster algebras using the partial tropicalization procedure.
