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Kakeya sets in R^3

Minerva Lectures

Kakeya sets in R^3

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Hong Wang, NYU Courant Institute of Mathematical Sciences and IHES
McDonnell Hall A01

Livestream: https://youtube.com/live/Y7_2ormEE5I

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. In this talk, we present the ideas in proving the Kakeya set conjecture in R^3 assuming our previous result on sticky Kakeya sets as a black box.  This is joint work with Josh Zahl.