CORDIS Project
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This project focuses on geometric measure theory, aiming to solve key problems related to the projections of planar sets. It seeks to provide quantitative results on classical conjectures, enhancing the understanding of the relationship between geometry and analysis.
This project is in the field of geometric measure theory (GMT), an area of analysis seeking to solve geometric problems using the tools of measure theory. A classical line of research in GMT concerns estimating the size of orthogonal projections of planar sets, and the most important results in this topic are the projection theorems of Besicovitch and Marstrand.
In the last few decades, it became increasingly clear that obtaining stronger, more quantitative projection results is connected to ope…
INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK
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