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SUMMARY:Finsler compactification of vector spaces
DTSTART:20161103T130000
DTEND:20161103T140000
DTSTAMP:20260407T101150Z
UID:6cb701d0628730497af8894be7613ad189461ccb7477a766d712bcf1
CATEGORIES:Conferences - Seminars
DESCRIPTION:Corina Ciobotaru (Université de Fribourg)\nA real vector spac
 e V of dimension n admits various compactifications depending on the metri
 c that is considered on V. For example\, when V is endowed with the usual 
 Euclidean metric\, the corresponding compactification is V union with the 
 n-1 dimensional sphere. In a recent joint work with Linus Kramer and Petra
  Schwer we study the case of a (not necessarily symmetric) Finsler metric 
 d_F on V. By employing elementary results from model theory and ultraprodu
 cts of metric spaces we give an easy proof that the corresponding ''compac
 tification'' of (V\, d_F) is V union with the boundary of the dual polyhed
 ron associated with d_F.
LOCATION:MA 31
STATUS:CONFIRMED
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