## Topology & Geometric Group Theory Seminar

## Spring 2010

### 1:30 – 2:30, Malott 203

Tuesday, January 26

**Evgeny Shavgulidze**, Moscow State University

*About amenability of subgroups of the group
of diffeomorphisms of the interval*

A series of averaging functionals on the space of continuous functions
on the group of diffeomorphisms of the interval is found.

Amenability of several discrete subgroups of the group of
diffeomorphisms Diff^{3}([0,1]) of the interval is proved. In
particular, a way is given of solving the problem of amenability of
Thompson's group F.

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