An Introduction to the Plateau’s Problem and Area-minimizing Currents

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• Zhengyi Xiao, University of Cambridge
• Friday 07 February 2025, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Adrian Dawid.

The Plateau’s problem was raised in 1760: Given a closed curve as a boundary, does there exist a surface with smallest area among the set of surfaces whose boundary is the given curve? It originates from certain physical phenomenon such as soap films. In this talk we will briefly introduce the solution to this problem, as well as its generalizations in the case of higher dimension and codimension, where regularities may fail, i.e. the solution is no longer a smooth submanifold.

This talk is part of the Junior Geometry Seminar series.

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