Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	李阳垟博士,University of Chicago
Inviter:
Title:	The geometric structure of min-max minimal hypersurfaces
Language:	Chinese
Time & Venue:	2023.06.16 15:00-16:00 南楼N913
Abstract:	Minimal hypersurfaces are critical points of the area functional, providing natural models for various physical phenomena such as soap films, black holes, protein folding, and crystals. In the late 1970s, Almgren and Pitts embarked on the investigationof Morse theory in the space of all hypersurfaces and developed a min-max theory for constructing minimal hypersurfaces. This presentation will survey the recent advancements in the min-max theory. In particular, I will discuss the geometric complexities,the singularities and the anisotropic analogue of min-max minimal hypersurfaces. Part of this talk is based on joint work with Zhihan Wang (Princeton University) as well as joint work with Guido De Philippis (NYU Courant) and Antonio De Rosa (UMD).