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Graduate Geometry and Topology Learning Seminar

Geometric Variational problems related to mean curvature

Dong Yeong Ko - Rutgers University

Location:  Hill 701 (Graduate Student Lounge)
Date & time: Tuesday, 01 March 2022 at 5:15PM - 6:30PM

Abstract : In this talk, we introduce geometric variational problems related to mean curvature. We cover the notion of geodesics, minimal hypersurfaces and their constant mean curvature analog as a critical point of area functional and its generalization. Moreover, if time permits, we will discuss the Morse theory of geodesics and minimal hypersurfaces, and recent progress on this variational theory on its spatial distibutions.