Basic Notions Seminar on Mean Curvature Flow of Closed Hypersurfaces

Explore the fundamental concepts of mean curvature flow for closed hypersurfaces in this comprehensive seminar led by Giovanni Bellettini from ICTP and the University of Siena. Begin with a clear definition of mean curvature flow, illustrated through basic examples, before delving into its variational nature and key established results. Examine Grayson's theorem for plane curve evolution and Huisken's convexity preserving theorem. Conclude with an introduction to more advanced topics in this field, providing a solid foundation for further study in geometric analysis and differential geometry.