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ME embeddings for groups

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If you have a question about this talk, please contact Mustapha Amrani.

Discrete Analysis

Two countable discrete groups $G$ and $H$ are said to be measure equivalent, or ME in short, if there is a standard measure space which carries commuting measure-preserving actions of $G$ and $H$ such that each of actions has a fundamental domain of finite measure. For example lattices of a locally compact group are ME to each other. The notion of measure equivalence is introduced by Gromov as a younger brother of quasi-isometry for groups. I will give a survey on ME embeddings.

This talk is part of the Isaac Newton Institute Seminar Series series.

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