Min-Max Construction of Anisotropic Minimal Hypersurfaces

This lecture from the Analysis and Mathematical Physics series at the Institute for Advanced Study features Guido De Philippis from NYU's Courant Institute of Mathematical Science discussing the min-max construction to find closed hypersurfaces that are stationary with respect to anisotropic elliptic integrands in closed n-dimensional manifolds. Learn about how these surfaces remain regular outside a closed set of zero n-3 dimension, with particular focus on obtaining a uniform upper bound for density ratios in the anisotropic min-max construction. The presentation confirms a conjecture posed by Allard and is based on joint work with A. De Rosa and Y. Li. The talk is scheduled for April 29, 2025, at 2:30pm in Simonyi Hall 101 with remote access available.