Monday, April 6, 2026 2:30 pm
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3:30 pm
EDT (GMT -04:00)
Hong Wang, NYU Courant
Kakeya sets in R^3
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.
M3 1006