### Oct 31, 2008

#### Halloween-talk : prep-notes

Posted by lievenlb in KapranovSmirnov, Kurokawa2005, Manin1995, Manin2006, Manin2008, news • No commentsThe prep-notes for the halloween-talk on “F_un and other ghost stories” at the Arts are available.

The prep-notes for the halloween-talk on “F_un and other ghost stories” at the Arts are available.

We have seen before that the symmetric group S(n) has a F-un interpretation as the linear group GL(n) over the field with one element. Hence, we can ask whether there is also a F-un interpretation of the n-string braid group and of the above group-morphism.

Over F_un vectorspaces are pointed sets. One can also do linear algebra over the F_un extension fields F_un^n. Vectorspaces are then pointed sets having a free action of n-th roots of unity.

The followers of F-un have their own collection of semi-secret texts, surrounded by whispers, of which they try to decode every single line in search of enlightenment. Fortunately, you do not have to search the shelves of the Bibliotheque National in Paris, but the depths of the internet to find them as huge, bandwidth-unfriendly, scanned documents.

M. Kapranov and I. Smirnov : Cohomology determinants and reciprocity laws: Number field case, (unpublished notes)