Top-level heading

The regularity of 2-dimensional area-minimizing integral currents

Data e ora inizio evento
Data e ora fine evento
Sede

Dipartimento di Matematica Guido Castelnuovo, Sapienza Università di Roma

Aula
Sala di Consiglio
Speaker ed affiliazione

Camillo De Lellis (Universität Zürich)

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.