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SUMMARY:Vectorial metric compactification of symmetric spaces and affine b
 uildings - Anne Parreau (Université de Grenoble)
DTSTART:20170510T080000Z
DTEND:20170510T090000Z
UID:TALK72438@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:&nbsp\;In higher rank symmetric spaces and affine buildings\, 
 the natural<br>projection of segments in a closed Weyl chamber may be rega
 rded as a<br>universal metric with vectorial values. It refines all Finsle
 r<br>metrics.&nbsp\; Remarkably\, many of the traditional basic properties
  of<br>CAT(0) spaces still hold for the vectorial metric\, providing simil
 ar<br>properties for all Finsler metrics in a unified way.&nbsp\; We will 
 show<br>that the classical Busemann compactification construction can be<b
 r>directly conducted in this context\, giving a natural compactification<b
 r>by vector-valued horofunctions.&nbsp\; These functions correspond to<br>
 strongly asymptotic classes of facets.&nbsp\; This compactification is<br>
 naturally homeomorphic to the maximal Satake compactification and<br>domin
 ates all linear Finsler compactifications.<br><br><br>
LOCATION:Seminar Room 1\, Newton Institute
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