Sticky Kakeya sets
Sticky Kakeya sets
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Joshua Zahl, Chern Institute of ÍâÍøÌìÌÃ, and Nankai University
Lewis Library 120
Livestream:
Sticky Kakeya setsÌýareÌýa special class of Kakeya sets thatÌýareÌýapproximately self-similar at every location and scale.TheÌýsticky Kakeya conjecture asserts that every sticky Kakeya setÌýinÌýR^nÌýhas Hausdorff dimensionÌýn.ÌýInÌý2022, Hong Wang and I proved this conjectureÌýinÌýdimension 3: this was an important ingredientÌýinÌýour subsequent proof ofÌýtheÌýKakeya set conjectureÌýinÌýdimensionÌý3.ÌýInÌýthis talk I will discuss progressÌýonÌýtheÌýKakeya conjecture over theÌýpast several decades, leadingÌýtoÌýtheÌýproof ofÌýtheÌýsticky Kakeya conjectureÌýinÌýdimension 3. This is joint work with Hong Wang.