Kakeya sets in R^3Hausdorff Colloquium

by Hong Wang (NYU, USA)

Tuesday Apr 29, 2025, 3:15 PM → 4:30 PM Europe/Berlin

Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)

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.

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