Joshua Zahl (Nankai University): Sticky Kakeya sets скачать в хорошем качестве

Joshua Zahl (Nankai University): Sticky Kakeya sets

(23 septembre 2025/ September 23, 2025) Conférences Nirenberg du CRM en analyse géométrique / Nirenberg Lectures in Geometric Analysis https://www.crmath.ca/activites/#/typ... Deuxième conférence Lecture 2 - This talk is aimed at a general mathematical audience. Abstract: Sticky Kakeya sets are a special class of Kakeya sets that are approximately self-similar at every location and scale. The sticky Kakeya conjecture asserts that every sticky Kakeya set in R^n has Hausdorff dimension n. In 2022, Hong Wang and I proved this conjecture in dimension 3; this was an important ingredient in our subsequent proof of the Kakeya set conjecture in dimension 3. In this talk I will discuss progress on the Kakeya conjecture over the past several decades, leading to the proof of the sticky Kakeya conjecture in dimension 3. This is joint work with Hong Wang.