Minimal sets and classification of singularities

speaker: Xiangyu Liang (University of Warwick)

abstract: A minimal set is a closed set (in an Euclidean space) whose Hausdorff

measure cannot be decreased by any compactly supported Lipschitz

deformation. This notion was invented by Almgren to give a

reasonable model for Plateau’s problem, which aims at

understanding the behavior of physical objects that admit certain

minimizing property, such as soap films. We shall introduce some

basic definitions, examples and facts about minimal sets and cones, as well as

some results and open problems.

timetable:
Mon 7 Oct, 17:50 - 18:40, Aula Dini
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