Date: Sep 30, 2013
Place: Centro De Giorgi
Abstract. In this series of lectures I will present a new proof of the partial regularity for area minimizing integral currents in any dimension and codimension (obtained in collaboration with C. De Lellis at Zurich), as proven first in Almgren's big regularity paper. After a brief introduction to currents and multiple valued functions, I will focus on the core of the partial regularity results, trying to give a fairly detailed description of the approximation of a current on a center manifold and of the frequency function estimates.