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SUMMARY:Kakeya maximal estimates via real algebraic geometry - Jonathan Hi
 ckman (Edinburgh)
DTSTART:20200115T134500Z
DTEND:20200115T144500Z
UID:TALK137356@talks.cam.ac.uk
CONTACT:Peter Varju
DESCRIPTION:The 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 recent work with K. Rogers and R. Zhang which apply t
 ools from the theory of semialgebraic sets to yield new partial results on
  the Kakeya conjecture.
LOCATION:MR4\, CMS
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