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SUMMARY:Nonpositive curvature is not coarsely universal - Alexandros Esken
 azis (Princeton)
DTSTART:20181030T140000Z
DTEND:20181030T150000Z
UID:TALK109027@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:A complete geodesic metric space of global nonpositive curvatu
 re in the sense of Alexandrov is called a Hadamard space. In this talk we 
 will show that there exist metric spaces which do not admit a coarse embed
 ding into any Hadamard space\, thus answering a question of Gromov (1993).
  The main technical contribution of this work lies in the use of metric sp
 ace valued martingales to derive the metric cotype 2 inequality with sharp
  scaling parameter for Hadamard spaces. The talk is based on joint work wi
 th M. Mendel and A. Naor.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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