The compact action realization problem

Release time:2024-04-01Views:12

Title:The compact action realization problem


Speaker:Alexander Kechris(California Institute of Technology)

Time:Thursday, April 11, 2024, 09:00-10:00


Location:Zoom ID:947 6291 4337,Password: 0411


Abstract:In this talk I will discuss realizations of countable Borel equivalence relations by continuous actions ofcountable groups, focusing in particular on the problem of realization by continuous actions on compactspaces and more specifically subshifts. This also leads to considering a natural universal space for actionsand equivalence relations via subshifts and the study of the descriptive and topological properties in thisuniversal space of various classes of countable Borel equivalence relations, especially the hyperfinite ones.







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