Mathematics Colloquium

Kakeya Sets in R^3

Time and Location:

March 10, 2025 at 3:45PM; Warren Weaver Hall, Room 1302

Speaker:

Hong Wang, New York University

Link:

Seminar homepage

Abstract:

A Kakeya set is a compact set of R^n that contains a unit line segment pointing in every direction.  Kakeya set conjecture asserts that every Kakeya set has 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.