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Geometry-Topology Seminar

Thursday, October 5, 2023 - 3:30pm

Erico Silva

Princeton University


University of Pennsylvania


There is a deep correspondence between the geometry of phase transitions— solutions to the Allen—Can equation— and minimal hypersurfaces. In this talk I will discuss recent joint work with Jared Marx-Kuo relating the level set geometry of phase transitions to that of minimal hypersurfaces. I will also discuss some recent progress on variational problems for minimal hypersurfaces and phase transitions with prescribed topology.