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SUMMARY:Coarse embeddings\, and yet more ways to avoid them - David Hume (
 Bristol)
DTSTART:20230505T124500Z
DTEND:20230505T134500Z
UID:TALK199363@talks.cam.ac.uk
CONTACT:76015
DESCRIPTION:Coarse embeddings (maps between metric spaces whose distortion
  can be controlled by some function) occur naturally in various areas of p
 ure mathematics\, most notably in topology and algebra. It may therefore c
 ome as a surprise to discover that it is not known whether there is a coar
 se embedding of three-dimensional real hyperbolic space into the direct pr
 oduct of a real hyperbolic plane and a 3-regular tree. One reason for this
  is that there are very few invariants which behave monotonically with res
 pect to coarse embeddings\, and thus could be used to obstruct coarse embe
 ddings.\n\n \n\nIn this talk I will discuss some new invariants which com
 bine two very classical invariants – asymptotic dimension and growth –
  to give different obstructions to coarse embeddings. This is joint work w
 ith John Mackay and Romain Tessera.\n\n
LOCATION:MR13
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