Kakeya sets in R^3
Kakeya sets in R^3
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Hong Wang, NYU Courant Institute of Mathematical Sciences and IHES
McDonnell Hall A01
Livestream:
AÌýKakeya setÌýis a compactÌýsetÌýofÌýR^n that contains a unit line segment pointing in every direction.ÌýÌýKakeya setÌýconjecture asserts that everyÌýKakeya setÌýhas Hausdorff dimension n.ÌýIn 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.Ìý This is joint work withÌýJoshÌýZahl.Ìý