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SUMMARY:Jonathan Hickman (University of Edinburgh)
DTSTART:20220228T200000Z
DTEND:20220228T210000Z
DTSTAMP:20260423T021337Z
UID:paw/44
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/paw/44/">Kak
 eya maximal estimates via real algebraic geometry</a>\nby Jonathan Hickman
  (University of Edinburgh) as part of Probability and Analysis Webinar\n\n
 \nAbstract\nThe Kakeya (maximal) conjecture concerns how collections of lo
 ng\, thin tubes which point in different directions can overlap. Such geom
 etric problems underpin the behaviour of various important oscillatory int
 egral operators and\, consequently\, understanding the Kakeya conjecture i
 s a vital step towards many central problems in harmonic analysis. In this
  talk I will discuss work with K. Rogers and R. Zhang which apply tools fr
 om the theory of semialgebraic sets to yield new partial results on the Ka
 keya conjecture. Also\, more recent work with J. Zahl has used these metho
 ds to improve the range of estimates on the Fourier restriction conjecture
 .\n
LOCATION:https://researchseminars.org/talk/paw/44/
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