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Harmonic maps to the circle with higher dimensional singular set

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  • UserMarco Badran (ETH Zurich)
  • ClockTuesday 13 May 2025, 14:00-15:00
  • HouseMR13.

If you have a question about this talk, please contact Giacomo Ageno .

We consider the problem of finding harmonic maps to the circle with a prescribed singular set in an arbitrary Riemannian manifold and characterise their uniqueness in terms of the “one-dimensional topology” of the ambient space. We then show how these maps can be used to define new notions of (n-2)-volume, leading to a promising approximation scheme for classical codimension 2 minimal surfaces.

This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.

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