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吴文俊数学重点实验室-吴文俊讲座【屈长征】

报告题目:Geometric Aspects of Integrable Systems

报告人:屈长征 教授,宁波大学

时间:12月10日(周一)上午9:30-10:30

地点:管理科研楼 数学科学学院1318教室

摘要:In this talk, we provide a review to the geometric aspects of integrable systems and their discrete counterparts. On one hand, it is well-known some classical integrable systems arise naturally from invariant curve flows in certain geometries. Interestingly, the corresponding discrete integrable systems come from the discrete curve flows. On the other hand, some surfaces such as constant negative Gauss curvature surface, Hasimoto surface, isothemic surfaces and affine surface etc can be described by integrable systems. The corresponding discrete integrable systems can be used to described discrete surfaces. In addition, the relationship between higher-dimensional integrable systems and invariant surface flows will be investigated.

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