Regularity of higher codimension area minimizing integral currents

Emanuele Spadaro

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Submission date: 15. Jan. 2015
Pages: 55
published in: Geometric measure theory and real analysis / L. Ambrosio (ed.)
Edizioni della Normale : Pisa, 2014. - P. 131 - 192
(Publications of the Scuola Normale Superiore / CRM series ; 17) 
DOI number (of the published article): 10.1007/978-88-7642-523-3_3
Download full preprint: PDF (661 kB)

Abstract:
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).