CRM: Centro De Giorgi
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ERC School on Analysis in Metric Spaces and Geometric Measure Theory

The Role of Multiple Valued Functions in the Regularity Theory of Minimal Currents

speaker: Emanuele Spadaro (Max-Planck-Institut für Mathematik, Leipzig)

abstract: Almost 30 years ago Amgren wrote his by now famous "Big regularity paper" on the partial regularity of higher codimension minimizing currents.

In this course I present some recent progress in collaboration with C. De Lellis in the direction of a new, simpler derivation of some of Almgren's results, recast in a more manageable framework.

I will in particular talk about the theory of multiple valued minimizing functions and the approximation of minimal currents. Finally, time permitting, I will also discuss some of the issues on Almgren's center manifold construction.

Mon 10 Jan, 15:00 - 15:50, Aula Dini
Tue 11 Jan, 11:30 - 12:20, Aula Dini
Wed 12 Jan, 9:00 - 9:50, Aula Dini
Thu 13 Jan, 10:00 - 10:50, Aula Dini
Fri 14 Jan, 11:30 - 12:20, Aula Dini
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