The Kakeya conjectures of harmonic analysis claim that congruent tubes that point in different directions rarely meet. In this talk we discuss the resolution of an analogous problem in a discrete setting (where the tubes are replaced by lines), and provide some structural information on quasi-extremal configurations.
This is joint work with A. Carbery.
This video is part of the Webinar in Additive Combinatorics series, and this is their YouTube channel.
