Hausdorff Dimension of Three-Dimensional Kakeya Sets

Explore groundbreaking research on the Hausdorff dimension of Kakeya sets in three-dimensional space in this one-hour conference talk. Delve into the findings of a paper that establishes a lower bound of 5/2 + ε for the Hausdorff dimension of Kakeya sets in R^3. Gain insights into this complex mathematical concept and its implications for geometric measure theory and harmonic analysis.