Analysis Seminar

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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.

Synopsis:

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..