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Regularity results for semicalibrated currents

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In this talk I will introduce the notion of semicalibrated currents and give some examples. After that I will present some regularity results, which are analogous to the ones for area minimizing currents. Finally I will try to give an idea of the proof of the following fact: the singular set of a two dimensional semicalibrated current is locally finite. In particular I will explain what are the center manifold and the frequency function, and try to explain their roles in the proof.

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

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