Wednesday, January 16, 2019
2:00 PM -
3:00 PM
Linde Hall 255
Logic Seminar
Series: Logic Seminar Series
Dense orbits in the space of subequivalence relations
Forte Shinko,
Department of Mathematics,
Caltech,
Given a measure-preserving equivalence relation E, there is a Polish space S(E) of subequivalence relations, which admits a natural action of the full group [E]. Does S(E) have a dense orbit? We will present results due to François Le Maître which show that the answer is yes when E is the hyperfinite ergodic equivalence relation, and that the answer is no when E is induced by a measure-preserving action of a property (T) group.
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