报告主题: Algebra and geometry of the full symmetric Toda system
报告人: Georgy Sharygin
报告时间: 2023年10月26日(星期四)下午16:00-17:00
报告地点: 37号楼3A02
邀请人: 刘明副教授,常智华副教授
欢迎广大师生前往!
数学学院
2023年10月25日
报告摘要:
The full symmetric Toda system is a straightforward generalisation of the standard open Toda chain. It yields an integrable Hamiltonian system on the space of real symmetric matrices and its generalisations. The properties of this system, its stable points and trajectories, its first integrals and symmetries are closely related to the algebraic and geometric properties of real semisimple Lie groups and their flag spaces. In my talk I will make a survey of these properties and ask few questions. Based on a series of works joint with Yu.Chernyakov, D.Talalaev and A.Sorin