Regularity Theory for Area-Minimizing Currents
Speaker: Camillo De Lellis, University of Zurich and Princeton University
Location: Warren Weaver Hall 1302
Date: Thursday, March 14, 2013, 11 a.m.
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..