CORDIS Project
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This project focuses on advancing mathematical theories related to minimal submanifolds and their properties in higher dimensions. It explores the connections between geometry and topology, particularly through the lens of physical energies and variational calculus.
The goal of this research proposal is to advance the calculus of variations of area in codimension higher than one, specifically existence and regularity of its critical points (minimal submanifolds) and properties of its gradient flow (mean curvature flow).
These are central objects in mathematics since three centuries and contributed to the birth of geometric analysis, geometric measure theory, and calculus of variations.
Their (non-)existence often reveals deep links between small-scale geome…
UNIVERSITA COMMERCIALE LUIGI BOCCONI
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