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Borel Matchings and equidecompositions

Friday 18th December 2015 - 11:30 to 12:30
INI Seminar Room 1
We discuss several results related to the question of when a Borel graph has a Borel matching. Here, the analogue of Hall's matching theorem fails, but there are positive results giving Borel matchings in several contexts if we are willing to discard null or meager sets. We also discuss some applications to geometrical paradoxes. This is joint work with Spencer Unger.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons