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Super-exponential $2$-dimensional Dehn functions
Geometry/Topology| Speaker: | Pallavi Dani, University of Oklahoma |
| Location: | 2112 MSB |
| Start time: | Wed, Oct 17 2007, 4:10PM |
The Dehn function of a finitely presented group measures the difficulty in filling loops in the presentation complex of the group. Higher dimensional Dehn functions are a natural generalization: the $n$-dimensional Dehn function of a group of type $F_{n+1}$ bounds the volumes of optimal fillings of $n$-spheres in suitably defined complexes associated with the group. I will describe a class of groups whose $2$-dimensional Dehn functions are super-exponential. This is joint work with Josh Barnard and Noel Brady.