Measurable Hall's theorem for actions of abelian groups
- Prelegent(ci)
- Tomasz Cieśla
- Afiliacja
- McGill University
- Termin
- 22 maja 2019 16:15
- Pokój
- p. 5050
- Seminarium
- Seminarium „Topologia i teoria mnogości”
We prove a measurable version of the Hall marriage theorem for actions
of finitely generated abelian groups. In particular, it implies that
for free measure-preserving actions of such groups, if two
equidistributed measurable sets are equidecomposable, then they are
equidecomposable using measurable pieces. The latter generalizes a
recent result of Grabowski, Máthé and Pikhurko on the measurable
circle squaring and confirms a special case of a conjecture of
Gardner. This is joint work with Marcin Sabok.