University of Birmingham > Talks@bham > Analysis Seminar > Minimal surfaces in the Heisenberg group

Minimal surfaces in the Heisenberg group

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If you have a question about this talk, please contact Yuzhao Wang.

The Heisenberg group has a well studied sub-Riemannian structure. Geometric measure theory in the sub-Riemannian setting is still in development and several fundamental questions are still open. One reason is that sets of finite sub-Riemannian perimeter may have fractal behaviours.

I will present some of the most recent results on minimal surfaces in this setting, in particular: an example of a stable surface that is not area minimizer, and some remarks about contact variations of the area functional.

This talk is part of the Analysis Seminar series.

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