Blanc SIMI 1 - Blanc - SIMI 1 - Mathématiques et interactions

Geometric measure theory and applications – GEOMETRYA

Submission summary

We shall address several problems within the framework of geometric measure theory, from both theoretical and numerical viewpoints. Our project is divided into 5 topics :
1) Geometric measure theory in singular metric spaces
2) Plateau problems
3) Around the Mumford-Shah functional
4) Irrigation and branched transport
5) Around the Willmore energy
The particularity of our project is to bring together pure and applied mathematicians, working in different areas: Geometric analysis, geometric measure theory, calculus of variations, numerical analysis, optimal transportation, scientific computing, and image processing. This diversity is a keypoint to tackle, with different but complementary approaches, the various issues raised in our project.

Project coordinator

Monsieur Hervé PAJOT (Université Joseph Fourier, Institut Fourier) – herve.pajot@ujf-grenoble.fr

The author of this summary is the project coordinator, who is responsible for the content of this summary. The ANR declines any responsibility as for its contents.

Partner

IF Université Joseph Fourier, Institut Fourier

Help of the ANR 218,999 euros
Beginning and duration of the scientific project: December 2012 - 48 Months

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