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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium
Michael Goldman
Ecole Polytechnique
Title: Plane-like minimizers, calibrations and differentiability of the stable norm

Abstract: In this talk I would like to present a recent joint work with A. Chambolle and M. Novaga about the differentiability and strict convexity properties of the stable norm. This function arises in the process of homogenization of interfacial energies in periodic media. We will see that the differentiability of the stable norm depends on the existence of gaps in the lamination made of some particular minimizers of these interfacial energies, the so-called plane-like minimizers. Our analysis heavily relies on the notion of calibrations for this problem.

Recording: http://mm.math.cmu.edu/recordings/cna/CNA-MichaelGoldman-May-01-2012.avi
Recording: http://mm.math.cmu.edu/recordings/cna/CNA-MichaelGoldman-May-01-2012.mp4
Date: Tuesday, May 1, 2012
Time: 1:30 pm
Location: Wean Hall 7218
Submitted by:  David Kinderlehrer