3:30–4:30 pm Ryerson 251, 1100 E. 58th St -- Note unusual time & location.
Kakeya sets in \(\mathbb{R}^3\)
Abstract:
A Kakeya set is a compact subset of \(\mathbb{R}^n\) 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 \(\mathbb{R}^3\) as a consequence of a more general statement about union of tubes.
This is joint work with Josh Zahl.
Event Type
May
14