Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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The regularity of 2-dimensional area-minimizing integral currents

Camillo De Lellis

created by risa on 02 Oct 2015

12 oct 2015 -- 14:30

Aula di Consiglio, Dip. Matematica, Università "La Sapienza", Roma


Building upon the Almgren's big regularity paper, Chang proved in the eighties that the singularities of area-minimizing integral 2-dimensional currents are isolated. His proof relies on a suitable improvement of Almgren's center manifold and its construction is only sketched. In recent joint works with Emanuele Spadaro and Luca Spolaor we give a complete proof of the existence of the center manifold needed by Chang and extend his theorem to two classes of currents which are "almost area minimizing" in a suitable sense.

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