题目：Gauss curvatureflow

报告人：Dr. KyeongsuChoi (Columbia University & MIT, USA)

时间：2017年7月3日(周一), 7月5日(周三), 7月7日(周五), 7月10日(周一), 7月12日(周三) 上午9:00-11:00

地点： 理科楼A404

摘要：The Gauss curvature flow is an evolution of a convexhypersurfaceby its Gauss curvature which describes the shape of worn stones.

It has been widely studied not only in Geometry but also in Analysis, because it is a natural parabolicMonge-Amp\`ere equation. We will study its inverse concavity, divergence structure, and non-degenerateellipticityto obtain monotonicity formulas and interior regularity.

We will also investigate free boundary problems and their application to the classification of the closed self-similar solutions.

共五节：

1.Caffarelli-Nirenberg-Sprucktrick and standardPogorelovcomputations (for new students)

2. Techniques inPogorelovcomputations

3. Free boundary problems

4. Classification of self-shrinkers

5. Monotonicity

联系人：马辉