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Author Topic: This Friday at GC: Bilipschitz equivalence is not equivalent to quasi-isometric  (Read 130 times)
Ji Young Park
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« on: 03:33 PM - 10/28/09 »

Friday, October 30, 2009, 04:15PM, CUNY Graduate Center: 365 Fifth Avenue at 34th Street, 5th Floor, Room 5417
Tullia Dymarz (Yale University), Bilipschitz equivalence is not equivalent to quasi-isometric equivalence for finitely generated groups

We show that certain lamplighter groups that are quasi-isometric (even commensurable) are nevertheless not bilipschitz equivalent. The proof involves structure of quasi-isometries from rigidity theorems, analysis of bilipschitz maps of the n-adics and uniformly finite homology.
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