$Stickiness, graininess, planiness, and a sum-product approach to the Kakeya problem$
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## Stickiness, graininess, planiness, and a sum-product approach to the Kakeya problem

This is a blog version of a talk I recently gave at the IPAM workshop on “The Kakeya Problem, Restriction Problem, and Sum-product Theory”. Note: the discussion here will be highly non-rigorous in nature, being...