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Title: KdV equation as an infinite dimensional completely integrable systemSpeaker: Prof. Shinichi Kotani Time：2019年10月18日9:00amVenue: 813, Center for mathematics, HUSTAbstract: If a dynamical system is finite dimensional, in certain occasions the system enough invariant functions so that the system can be described as a commutative family of linear motions, and this system is called as a...

Title: KdV equation as an infinite dimensional completely integrable system

Speaker: Prof. Shinichi Kotani

Time：2019年10月18日9:00am

Venue: 813, Center for mathematics, HUST

Abstract: If a dynamical system is finite dimensional, in certain occasions the system enough invariant functions so that the system can be described as a commutative family of linear motions, and this system is called as a completely integrable system. In 1967 the KdV equation, which is a non-linear partial differential equation, was found to have infinitely many invariants. This was a trigger of the long history of completely integrable systems in infinite dimensional.spaces. In the talk we start from finite dimensional integrable system and explain how people have been trying to solve the KdV equation.

Kotani教授现为日本大阪大学教授，是随机薛定谔方程，哈密尔顿领域的杰出数学家。Kotani教授是1990年国际数学家大学邀请报告人，也是1987年日本数学会Iyanaga prize获奖人。