Super-exponential 2-dimensional Dehn functions

Pallavi Dani (Louisiana State/Emory University)

Wednesday 11th March, 2009 14:00-15:00 Mathematics Building, room 326


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 captures the difficulty of filling n-spheres with (n+1)-balls in suitably defined complexes associated with the group. A fundamental question in the area is that of determining which functions arise as Dehn functions. 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.

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