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The Kakeya set conjecture in three dimensions II

Hot Topics: Interactions between Harmonic Analysis, Homogeneous Dynamics, and Number Theory March 03, 2025 - March 07, 2025

March 06, 2025 (02:00 PM PST - 03:00 PM PST)
Speaker(s): Hong Wang (New York University, Courant Institute)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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The Kakeya set conjecture in three dimensions II

Abstract

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Given any set  of delta-tubes in R^3, we can factor tubes into clusters, such that within each cluster, the tubes are dense and fill out a convex set, and these convex sets are essentially disjoint.  We discuss some new aspects of the argument, putting into a broader context of projection theory.  This is joint work with Josh Zahl. 

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The Kakeya set conjecture in three dimensions II

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