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Department of Mathematics,
University of California San Diego

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Joint Differential Geometry Seminar

Otis Chodosh

Properties of Allen--Cahn min-max constructions on 3-manifolds

Abstract:

I will describe recent joint work with C. Mantoulidis in which we study the properties of bounded Morse index solutions to the Allen--Cahn equation on 3-manifolds. One consequence of our work is that a generic Riemannian 3-manifold contains an embedded minimal surface with Morse index p, for each positive integer p.

Organizers: UCI-UCR-UCSD

May 8, 2018

3:40 PM

UCR - Surge 284

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