中科院数学与系统科学研究院
数学研究所
学术报告
非线性分析研讨班
报告人：Kyeongsu Choi（Korea Institute of Advanced Study）
题 目：Ancient finite-entropy curve shortening flows
时 间：2023.10.12（星期四）10:00-11:00
地 点：Zoom: 676 5776 3803 Code: 914775
摘 要：The curve shortening flow is a heat equation of curves, and therefore we can characterize its ancient solutions as parabolic Liouville theorems. For example, it is known that the only convex ancient flows are shrinking circles, translating Grim Reaper curves, Angenent ovals, and static lines. A natural question would be to find a condition, weaker than convexity, under which the ancient CSFs are classified. In this talk, we will discuss the classification of ancient curve shortening flows with finite entropy. In particular, we put emphasis on the uniqueness of tangent flow at negative infinity, which is the round circle or a straight line with multiplicity. This is a joint work with Dong-Hwi Seo, Wei-Bo Su, and Kai-Wei Zhao.
附件：