University of Cambridge > > Category Theory Seminar > In search of the pythagorean tensor

In search of the pythagorean tensor

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Nathan Bowler.

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.

This talk is part of the Category Theory Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


© 2006-2024, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity