Regularity of higher codimension area minimizing integral currents

2015/01/15 by Emanuele Spadaro, Spadaro, Emanuele
Mathematics · #Advanced Optimization Algorithms Research #Mathematical functions and polynomials #Point processes and geometric inequalities #math.DG

paper · pdf · doi:10.48550/arxiv.1501.03720

This text will appear in "Geometric Measure Theory and Real Analysis", pp. 131--192, Proceedings of the ERC school in Pisa (2013), L. Ambrosio Ed., Edizioni SNS (CRM Series)

arxiv created 2015/01/15 · arxiv updated 2015/01/16

Abstract

This lecture notes are an expanded version of the course given 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 Zurich).

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