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SUMMARY:Measurable circle squaring - Oleg Pikhurko (University of Warwick)
DTSTART:20151203T143000Z
DTEND:20151203T153000Z
UID:TALK62634@talks.cam.ac.uk
CONTACT:Andrew Thomason
DESCRIPTION:In 1990 Laczkovich proved that one can split a disk into finit
 ely many parts and move them to form a partition of a square\, thus solvin
 g the long-standing Tarski's circle squaring problem. I will discuss our r
 esult with András Máthé and Łukasz Grabowski that\, additionally\, all
  parts can be made Lebesgue measurable. This is achieved by showing\nthat 
 some analytic version of the augmenting path algorithm stabilises almost e
 verywhere.\n
LOCATION:MR12
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