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Caltech

Logic Seminar

Wednesday, October 6, 2021
12:00pm to 1:00pm
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Online Event
Realizations of equivalence relations and subshifts
Forte Shinko, Department of Mathematics, Caltech,

Every continuous action of a countable group on a Polish space induces a Borel equivalence relation. We are interested in the problem of realizing (i.e. finding a Borel isomorphic copy of) these equivalence relations as continuous actions on compact spaces. We provide a number of positive results on this problem, and we investigate the connection to subshifts. Joint with Joshua Frisch, Alexander Kechris and Zoltán Vidnyánszky.

For more information, please email A. Kechris at [email protected].