## Topology & Geometric Group Theory Seminar

## Fall 2011

### 1:30 – 2:30, Malott 203

### Tuesday, September 6

**Justin
Moore**, Cornell University

*Amenability and Ramsey theory*

In this talk, I will connect the notion of the amenability of a
discrete group with a new form of structural Ramsey theory. The
Ramsey theoretic reformulation of amenability constitutes a
considerable weakening of the Følner criterion. As a by-product, it
will be shown that in any non amenable group G, there is a subset
E of G such that no finitely additive probability measure on G
measures all translates of E equally.

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