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UID:20260602T174642EDT-1932bZaxxn@132.216.98.100
DTSTAMP:20260602T214642Z
DESCRIPTION:Title: Sticky Kakeya sets\, and the sticky Kakeya conjecture\n
 \nAbstract: A Kakeya set is a compact subset of R^n that contains a unit l
 ine segment pointing in every direction. The Kakeya conjecture asserts tha
 t such sets must have dimension n. This conjecture is closely related to s
 everal open problems in harmonic analysis\, and it sits at the base of a h
 ierarchy of increasingly difficult questions about the behavior of the Fou
 rier transform in Euclidean space.\n	\n	There is a special class of Kakeya s
 ets\, called sticky Kakeya sets. Sticky Kakeya sets exhibit an approximate
  self-similarity at many scales\, and sets of this type played an importan
 t role in Katz\, Łaba\, and Tao's groundbreaking 1999 work on the Kakeya p
 roblem. In this talk\, I will discuss a special case of the Kakeya conject
 ure\, which asserts that sticky Kakeya sets must have dimension n. I will 
 discuss the proof of this conjecture in dimension 3. This is joint work wi
 th Hong Wang.\n\nHybride - CRM\, Salle / Room 5340\, Pavillon André Aisens
 tadt / Zoom (voir survol/ see overview)\n
DTSTART:20230113T203000Z
DTEND:20230113T213000Z
SUMMARY:Joshua Zahl\, University of British Columbia
URL:/mathstat/channels/event/joshua-zahl-university-br
 itish-columbia-344736
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