## Topology & Geometric Group Theory Seminar

## Spring 2009

### 1:30 – 2:30, Malott 207

Tuesday, March 31

**Tim
Riley**, University of Bristol and Cornell University (soon)

*How wild can a group with a quadratic Dehn function be?*

Loops in Euclidean space bound discs of area at most a constant times
the square of their length — that is, Euclidean space "enjoys a
quadratic isoperimetric inequality". To a finitely presentable group,
one can associate a simply connected space modeling the group
geometrically. The group "has a quadratic Dehn function" when this
space enjoys a quadratic isoperimetric inequality. I will survey this
class of groups.

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