Symmetries of the Full Symmetric Toda Flow
发布时间：2022年11月07日
浏览次数：2315
发布者: Wenqiong Li
主讲人： Georgy Igorevich Sharygin (Moscow State University)
活动时间： 从 2022-11-15 14:00 到 15:00
场地： 北京国际数学研究中心，全斋全29教室
The full symmetric Toda flow is a rather straightforward generalisation of the standard "three-diagonal" Toda system: instead of the three-diagonal symmetric matrix one just considers the same equation for a general symmetric matrices. This system turns out to be integrable (i.e. it is a Hamiltonian system and has a sufficiently large number of first integrals in involution). In my talk I will describe a construction that gives large family of vector fields, that commute with Toda system, independently of the first integrals. The relation of this construction and the known constructions of the first integrals of the system is yet to be described.
