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SUMMARY:Coarse non-amenability and coarse embeddings - Arzhantseva\, G (Vi
 enna)
DTSTART:20110112T140000Z
DTEND:20110112T150000Z
UID:TALK28847@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The concept of coarse embedding was introduced by Gromov in 19
 93. It plays an important role in the study of large-scale geometry of gro
 ups and the Novikov higher signature conjecture. Guoliang Yu's property A 
 is a weak amenability-type condition that is satisfied by many known metri
 c spaces. It implies the existence of a coarse embedding into a Hilbert sp
 ace.\n\nWe construct the first example of a metric space with bounded geom
 etry which coarsely embeds into a Hilbert space\, but does not have proper
 ty A. This is a joint work with Erik Guentner and Jan Spakula.\n
LOCATION:Seminar Room 1\, Newton Institute
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