The three-dimensional Kakeya conjecture, after Wang and Zahl
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There has been some spectacular progress in geometric measure theory: Hong Wang and Joshua Zahl have just released a preprint that resolves the three-dimensional case of the infamous Kakeya set con…

This is pretty exciting! Even my understanding of the blog is not fully yet, but overall seems intriguing. Here’s a direct link to the article https://arxiv.org/pdf/2210.09581