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SUMMARY:A fat Szemerédi-Trotter theorem\, and Inverse 2D Kakeya theorems 
 - Michael Bateman (University of Cambridge)
DTSTART:20150528T133000Z
DTEND:20150528T143000Z
UID:TALK59566@talks.cam.ac.uk
CONTACT:Andrew Thomason
DESCRIPTION:We discuss recent progress with Victor Lie on a type of\ninver
 se Kakeya problem in two dimensions. If the Cordoba-Kakeya\nestimate is sh
 arp\, can we say anything meaningful about the set of bad\npoints? What do
  the level-sets of the rectangles look like? This is\nrelated to the famil
 y of problems including Bourgain's sum-product\ntheorem\, Katz-Tao ring co
 njecture\, and Furstenburg's generalization of\nthe Kakeya problem.
LOCATION:MR11
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