Min-max theory and least area minimal hypersurfaces

Min-max theory and least area minimal hypersurfaces

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Antoine Song, Princeton University
Fine Hall 314

Minimal hypersurfaces are one important way to understand the structure of the ambient manifold and min-max theory is a powerful method for constructing them. I will present the basic ideas of min-max theory, a theorem of Calabi-Cao as an application and a possible extension of the latter.