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Tom Leinster, University of Glasgow
Tuesday 26 January 2010, 14:15-15:45
In search of the pythagorean tensor
- đ¤ Speaker: Tom Leinster, University of Glasgow
- đ Date & Time: Tuesday 26 January 2010, 14:15 - 15:45
- đ Venue: MR9, Centre for Mathematical Sciences
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Nathan Bowler
Abstract
In 1973, Lawvere showed that metric spaces can be regarded as enriched categories, enabling a fruitful back-and-forth between metric geometry and category theory. But one part of metric geometry whose categorical counterpart has never been found is the “Pythagorean tensor” – essentially, the formula sqrt(x2+y2), fundamental to Euclidean geometry. I will describe a partially successful attempt to solve this problem.
Series This talk is part of the Category Theory Seminar series.
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