# Regularity theory for area-minimizing currents

Friday, February 8, 2013 -

3:00pm to 4:00pm

It was established by Almgren at the beginning of the eighties that area-minimizing $n$-dimensional currents in Riemannian manifolds are regular up to a singular set of dimension at most $n-2$. To reach this goal Almgren developed an entirely new regularity theory, which occupies a very large monograph, published posthumously. This talk is based on a series of joint works with Emanuele Spadaro, where we give alternative proofs to all Almgren's main steps, resulting into a much more manageable approach to his entire theory.

Speaker:

Camillo De Lellis

University of Zuerich

Event Location:

Fine Hall 314