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Oleg Pikhurko (University of Warwick)
Thursday 03 December 2015, 14:30-15:30
Measurable circle squaring
- 👤 Speaker: Oleg Pikhurko (University of Warwick)
- 📅 Date & Time: Thursday 03 December 2015, 14:30 - 15:30
- 📍 Venue: MR12
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Andrew Thomason
Abstract
In 1990 Laczkovich proved that one can split a disk into finitely many parts and move them to form a partition of a square, thus solving the long-standing Tarski’s circle squaring problem. I will discuss our result with András Máthé and Łukasz Grabowski that, additionally, all parts can be made Lebesgue measurable. This is achieved by showing that some analytic version of the augmenting path algorithm stabilises almost everywhere.
Series This talk is part of the Combinatorics Seminar series.
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