May 6, 2026
Kakeya sets in R^3
Mathematics Colloquium
Date: May 6, 2026 |
3:30 pm –
4:30 pm
Speaker:
Hong Wang, New York University
Location: Raiffeisen Lecture Hall, Central Building
Language:
English
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.