EVENT DETAILS AND ABSTRACT

Title: Minimal Folner foliations are amenable
Speaker: Ana Rechtman
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Abstract:

In this talk I will discuss the relation between amenable foliations and foliations with F{\o}lner leaves. Both notions are motivated by the corresponding ones on finitely generated groups, and in this context they are equivalent. In contrast, for foliations there are examples of non-amenable foliations with all its leaves F{\o}lner.

I will begin by discussing the definitions and an example of a non-amenable foliation with F{\o}lner leaves. After, I will show that for minimal foliations the two notions are equivalent: a minimal foliation is amenable if and only if almost all its leaves are F{\o}lner. Both definitions depend strongly in the measure considered, for this talk I will work with transverse invariant measures.