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Wednesday, April 24, 2024
12:00 PM - 1:00 PM
Online Event

Logic Seminar

Equivalence relations classifiable by Polish abelian groups
Forte Shinko, Department of Mathematics, UC Berkeley,

Please note that the time is PST

A conjecture of Hjorth states that the only countable Borel equivalence relations reducible to orbit equivalence relations of Polish abelian group actions are the hyperfinite ones. This conjecture was recently refuted by Allison, where he showed that every treeable countable Borel equivalence relation reduces to such an orbit equivalence relation. We show that this holds for more general equivalence relations, including all countable Borel equivalence relations. This is joint with Josh Frisch.

For more information, please contact Math Dept. by phone at 626-395-4335 or by email at [email protected].