Calculus of Variations and Geometric Measure Theory
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Isoperimetric Problems Between Analysis and Geometry

The Log-Convex Density Conjecture

Gregory Chambers (Toronto University)

created by paolini on 02 Jun 2014

17 jun 2014 -- 15:00   [open in google calendar]

Abstract.

In this talk, I will explain the main components of the proof of the Log-Convex Density Conjecture. This conjecture, due to K. Brakke, asserts that balls centered at the origin are isoperimetric regions in Euclidean space endowed with a positive density which is smooth, radially symmetric, and log-convex. I will also show that these are the only isoperimetric regions, unless the density is constant on some ball.

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