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Lecture Note

Regularity of higher codimension area minimizing integral currents

Emanuele Spadaro


This lecture notes are an expanded and revised version of the course "Regularity of higher codimension area minimizing integral currents" that I taught at the "ERC-School on Geometric Measure Theory and Real Analysis", held in Pisa, September 30th - October 30th 2013.

The lectures aim to explain the main steps of a new proof of the partial regularity of area minimizing integer rectifiable currents in higher codimension, due originally to F. Almgren, which is contained in a series of papers in collaboration with C. De Lellis (University of Zürich).