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Explore a mathematical lecture by Hong Wang from NYU's Courant Institute addressing the Kakeya set conjecture in three-dimensional space. Learn how Kakeya sets—compact subsets of R^n containing unit line segments pointing in every direction—are proven to have Minkowski and Hausdorff dimension 3 in R^3. The 58-minute presentation, hosted by the University of Chicago Department of Mathematics, demonstrates this result as part of a more general theorem about the union of tubes. The lecture covers joint research work conducted with Josh Zahl, providing valuable insights into this significant mathematical problem.
