Progress on the Kakeya conjecture?

Jonathan Fraser (University of Manchester)

Frank Adams Room 1, Alan Turing Building,

The Kakeya conjecture is one of the most famous and well studied open problems in geometric
measure theory. In this talk I will discuss the history of the problem, including the best results
to date. I will then go on to discuss some recent work in collaboration with Eric Olson (Reno,
Nevada) and James Robinson (University of Warwick). We introduce a technique we call 'cut
and move' which allows us to give very simple proofs of some dimension estimates for Kakeya
sets and a good heuristic for why the full conjecture should be true.

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