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Regularity of higher codimension minimal currents

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If you have a question about this talk, please contact Filip Rindler.

Higher codimension minimal surfaces have very different regularity properties with respect to hypersurfaces. Their investigation gives rise to new, challenging analytical issues in the regularity theory of systems of nonlinear partial differential equations. In this talk I will present a new proof of Almgren’s partial regularity of higher codimension area minimizing currents, stating they are in fact smooth submanifolds up to a singular set of codimension at least 2. This is joint work with C. De Lellis (University of Zurich).

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

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