报告题目：Curve flows and KdV-type equations associated to affine Kac-Moody algebras

报告人： 吴志伟博士(宁波大学)

时间：2016年6月21日上午10:40―11：40

地点：管理科研楼 1518

摘要: It is known that soliton equations can be constructed from splitting of affine Kac-Moody algebras. And for each affine Kac-Moody algebra, there corresppond several series of KdV-type hierarchies. In this talk, I will talk about generic curve flows whose local invariants are solutions of integrable systems. I will start with the moving frame, and then explain the natural geometric curve flows. In the case of $A_{n-1^{(1)}$-Kac Moody algebra, Backlund transformation for generating infinitely many families of solutions is constructed and Bi-hamiltonian structures for the curve flows can be written down in terms of the moving frame and invariants. This is a joint work with Chuu-Lian Terng.

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