ERC Consolidator Grant · 2022
Multi-scale incidence geometry
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. Vitushkin's conjecture is motivated by the Painlevé problem on finding a geometric characterisation for the removable singularities of bounded analytic functions. The Furstenberg conjecture has…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.