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Introduction to Geometric Group Theory |
| August 27, 2007 to August 31, 2007 |
| Organized By: Mladen Bestvina, Jon McCammond, Michah Sageev, Karen Vogtmann |
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| Parent Programs: |
| Geometric Group Theory |
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| Return to Workshop Description |
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Groups embedding quasi-isometrically into Hilbert spaces
Thursday August 30, 2007
02:00PM - 02:50PM
Speakers:
Alain Valette
Abstract:
We prove that, for a class of amenable groups containing polycyclic groups, a group embedding quasi-isometrically into Hilbert space must be virtually cyclic. From this we deduce a new proof of quasi-isometric rigidity of $Z^n$, not appealing to Gromov's theorem on polynomial growth. This is joint work with Y. de Cornulier and R. Tessera.
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