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Join Professor Richard M. Schoen from UC Irvine for a lecture on "Minimal submanifolds in Riemannian geometry" presented at the ZhengTong Chern-Weil Symposium Spring 2025. Explore how the theory of stable minimal hypersurfaces connects to the study of Riemannian manifolds with scalar curvature lower bounds—a relationship that has enhanced understanding of scalar curvature in both Riemannian geometry and general relativity while advancing regularity theory for stable and min-max hypersurfaces. Discover the current limitations in higher codimension theory as Professor Schoen provides a concise survey of codimension one theory and discusses recent progress and future possibilities for developing a comprehensive theory for surfaces in higher codimensions.
