Clinton Conley: Amenability and μ-hyperfiniteness

Mathematical logic seminar – January 12, 2016
Time:     12:30 – 13:30

Room:     Wean Hall 8220

Speaker:         Clinton Conley
Department of Mathematical Sciences
CMU

Title:     Amenability and μ-hyperfiniteness

Abstract:     Ornstein-Weiss showed in the early 80s that any measure-preserving Borel action of a countable amenable group on a standard probability space generates, after deleting a null set, a hyperfinite orbit equivalence relation. This was soon generalized by Connes-Feldman-Weiss to handle non-measure-preserving actions. After some background on amenability, we discuss a modern graph-theoretic approach to proving these theorems, building on work of Elek, Kaimanovich, and Kechris-Miller. This talk includes joint work with Gaboriau, Marks, and Tucker-Drob.

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