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SUMMARY:In search of the pythagorean tensor - Tom Leinster\, University of
  Glasgow
DTSTART:20100126T141500Z
DTEND:20100126T154500Z
UID:TALK21725@talks.cam.ac.uk
CONTACT:Nathan Bowler
DESCRIPTION:In 1973\, Lawvere showed that metric spaces can be regarded as
  enriched categories\, enabling a fruitful back-and-forth between metric g
 eometry and category theory.  But one part of metric geometry whose catego
 rical counterpart has never been found is the "Pythagorean tensor" - essen
 tially\, the formula sqrt(x^2^+y^2^)\, fundamental to Euclidean geometry. 
 I will describe a partially successful attempt to solve this problem.\n\n
LOCATION:MR9\, Centre for Mathematical Sciences
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