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Mathematics Colloquium

Tuesday, May 20, 2025
4:00pm to 5:00pm
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Linde Hall 310
The Kakeya set conjecture in three dimensions
Joshua Zahl, Department of Mathematics, University of British Columbia,

A Besicovitch set is a compact subset of Rn that contains a unit line segment pointing in every direction. The Kakeya set conjecture asserts that every Besicovitch set in Rn has Minkowski and Hausdorff dimension n. I will discuss some recent progress on this conjecture, leading to the resolution of the Kakeya set conjecture in three dimensions. This is joint work with Hong Wang.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].