Hausdorff Colloquium
Kakeya sets in R^3Hausdorff Colloquium
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Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
Endenicher Allee 60/1-016 - Lipschitzsaal
Mathezentrum
90
Description
A Kakeya set is a compact subset of R^n that contains a unit line segment pointing in every direction. Kakeya set conjecture asserts that every Kakeya set has Minkowski and Hausdorff dimension n. We prove this conjecture in R^3 as a consequence of a more general statement about union of tubes. This is joint work with Josh Zahl.
Website of the Hausdorff Colloquium
Organized by
Barbara Verfürth, Wolfgang Lück and Illia Karabash