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1. • CommentRowNumber1.
   • CommentAuthorGavinWraith
   • CommentTimeNov 5th 2009
   • PermaLink
   Author: GavinWraith
   Format: MarkdownNorm and Trace should be characters in a sitcom. They both cry out to be decategorified right and left adjoints, respectively, of a finite extension. Norm is duly multiplicative, Trace is additive. This observation is as old as the hills, but has anybody produced a convincing categorification of them?

   Norm and Trace should be characters in a sitcom. They both cry out to be decategorified right and left adjoints, respectively, of a finite extension. Norm is duly multiplicative, Trace is additive. This observation is as old as the hills, but has anybody produced a convincing categorification of them?

2. • CommentRowNumber2.
   • CommentAuthorEric
   • CommentTimeNov 5th 2009
   • (edited Nov 5th 2009)
   • PermaLink
   Author: Eric
   Format: MarkdownNot sure if this is what you're after, but maybe a start: [[categorical trace]]<br> [[trace of a category]]<br> [[trace]]<br> [[span trace]]<br> Others could help better, but there is also some neat stuff related to norms due to Lawvere (over my head) about [[metric space]] as a category.

   This comment is invalid XML; displaying source. <p>Not sure if this is what you're after, but maybe a start:</p> <p><a href="https://ncatlab.org/nlab/show/categorical+trace">categorical trace</a><br> <a href="https://ncatlab.org/nlab/show/trace+of+a+category">trace of a category</a><br> <a href="https://ncatlab.org/nlab/show/trace">trace</a><br> <a href="https://ncatlab.org/nlab/show/span+trace">span trace</a><br></p> <p>Others could help better, but there is also some neat stuff related to norms due to Lawvere (over my head) about <a href="https://ncatlab.org/nlab/show/metric+space">metric space</a> as a category.</p>
3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeNov 5th 2009
   • (edited Nov 5th 2009)
   • PermaLink
   Author: Urs
   Format: Markdownthere is a nice story about oo-versions of a pair called Trace and Center emerging. Part of it is indicated in Ben-Zvi/Fracis/Nadler's <a href="http://arxiv.org/abs/0805.0157">Integral transforms</a>. should eventually be nLabified...

   there is a nice story about oo-versions of a pair called Trace and Center emerging.

   Part of it is indicated in Ben-Zvi/Fracis/Nadler's Integral transforms. should eventually be nLabified...