报告题目：Geometric Aspects of Integrable Systems
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.