Minimal surface doublings via electrostatics

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• Daniel Stern (Cornell University)
• Tuesday 24 March 2026, 11:45-12:45
• Seminar Room 1, Newton Institute.

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GSTW02 - Geometry of eigenvalues

I’ll discuss joint work with Adrian Chu, relating Kapouleas’s doubling construction for minimal surfaces to the variational theory for a Coulomb-type interaction energy for Schroedinger operators. For the Jacobi operator of a nondegenerate minimal surface, we show that suitable families of critical points of this energy give rise to high-genus minimal surfaces, provided a few key estimates are satisfied. By studying the ground states for this energy, we show that a generic minimal surface of index one admits such a doubling, and deduce as a corollary that generic 3-manifolds contain sequences of embedded minimal surfaces with bounded area and arbitrarily large genus. I’ll also make some comparisons with the construction of minimal doublings via eigenvalue optimization.

This talk is part of the Isaac Newton Institute Seminar Series series.

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