Measurable Equidecompositions via Combinatorics and Group Theory

Thursday, September 18, 2014 - 2:00pm - 3:00pm
Lind 305
Oleg Pikhurko (University of Warwick)
Let n>2. We show that every two subsets of S^{n-1} (resp. two bounded
subsets of R^n) of the same measure and with non-emtpy interior can be
equidecomposed using pieces that are measurable. Joint work with
Lukasz Grabowski and Andras Mathe.