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The MUSING project addresses long-standing problems in geometric measure theory, focusing on conjectures related to geometric characterizations and incidence geometry. By employing multi-scale analysis techniques, it seeks to advance understanding of specific sets and their properties, contributing to broader mathemati…
The ERC CoG project MUSING aims to make progress in several old problems in geometric measure theory (GMT), including Vitushkin's conjecture from the 60s, and the Furstenberg set conjecture proposed by Wolff in the 90s.
Both problems are related to sharpening and generalising some cornerstone results in GMT, such as the projection theorems of Besicovitch and Marstrand.
Recent work on these questions combines techniques from GMT, additive combinatorics, harmonic analysis, and incidence geometry.…
JYVASKYLAN YLIOPISTO
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