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Topics in Geometric Group Theory |
| November 05, 2007 to November 09, 2007 |
| Organized By: Noel Brady, Mike Davis, Mark Feighn |
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| Parent Programs: |
| Geometric Group Theory |
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| Return to Workshop Description |
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Higher isoperimetric inequalities for complexes and groups
Tuesday November 6, 2007
10:30AM - 11:20AM
Speakers:
Panagiotis Papazoglou
Abstract:
Gromov showed that if a complex satisfies a subquadratic isoperimetric inequality then it satisfies a linear one. We show that a similar theorem holds for the 2nd isoperimetric inequality provided that the 2-cycles that maximize filling volume are spheres, or, more generally, surfaces of uniformly bounded genus.
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