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SUMMARY:Jonathan Hickman (University of Edinburgh)
DTSTART:20220209T170000Z
DTEND:20220209T180000Z
DTSTAMP:20260423T021257Z
UID:HAeS/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HAeS/27/">Ka
 keya maximal estimates via real algebraic geometry</a>\nby Jonathan Hickma
 n (University of Edinburgh) as part of Harmonic analysis e-seminars\n\n\nA
 bstract\nThe Kakeya (maximal) conjecture concerns how collections of long\
 , thin tubes which point in different directions can overlap. Such geometr
 ic problems underpin the behaviour of various important oscillatory integr
 al operators and\, consequently\, understanding the Kakeya conjecture is a
  vital step towards many central problems in harmonic analysis. In this ta
 lk I will discuss work with K. Rogers and R. Zhang which apply tools from 
 the theory of semialgebraic sets to yield new partial results on the Kakey
 a conjecture. Also\, more recent work with J. Zahl has used these methods 
 to improve the range of estimates on the Fourier restriction conjecture.\n
LOCATION:https://researchseminars.org/talk/HAeS/27/
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