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The multiplicity one conjecture and the Allen-Cahn equation

Mathematics Colloquium

The multiplicity one conjecture and the Allen-Cahn equation
Series: Mathematics Colloquium
Location: MATH 501
Presenter: Otis Chodosh, Stanford University

Abstract: I’ll describe work with C. Mantoulidis related to a regularization of the Morse theory for the area functional via a PDE coming from material science. This resolves the problem of “multiplicity" in this context, aiding in the construction of unstable minimal surfaces.  

(Refreshments will be served in the Math Commons Room at 3:30 PM)