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SUMMARY:David Hume (University of Birmingham)
DTSTART:20240530T130500Z
DTEND:20240530T140000Z
DTSTAMP:20260423T003244Z
UID:GaTO/103
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/103/">C
 oarse embeddings\, and yet more ways to avoid them</a>\nby David Hume (Uni
 versity of Birmingham) as part of Geometry and topology online\n\nLecture 
 held in Room B3.02 in the Zeeman Building\, University of Warwick.\n\nAbst
 ract\nCoarse embeddings (maps between metric spaces whose distortion can b
 e controlled by some function) occur naturally in various areas of pure ma
 thematics\, most notably in topology and algebra. It may therefore come as
  a surprise to discover that it is not known whether there is a coarse emb
 edding of three-dimensional real hyperbolic space into the direct product 
 of a real hyperbolic plane and a 3-regular tree. One reason for this is th
 at there are very few invariants which behave monotonically with respect t
 o coarse embeddings\, and thus could be used to obstruct coarse embeddings
 .\n\nIn this talk I will discuss some new invariants which combine two ver
 y classical invariants‚ asymptotic dimension and growth\, to give differ
 ent obstructions to coarse embeddings. \n\nThis is joint work with John Ma
 ckay and Romain Tessera.\n
LOCATION:https://researchseminars.org/talk/GaTO/103/
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