Oct 6, 2008

Connes-Consani for undergraduates (1)

Posted by in Connes-Consani2008, featured, undergraduate 8 comments

Alain Connes and Katia Consani arXived the paper “On the notion of geometry over F_un” in which they refine and simplify Soule’s approach. This series tries to explain their construction to non-specialists in algebraic geometry.

Oct 6, 2008


Posted by in Kurokawa2005, library No comments

Nobushige Kurokawa: Zeta functions over Proc. Japan Acad., 81, Ser. A (2005), 180-184 Click on the picture below to get a PDF-version of the paper.

Oct 4, 2008

The skeleton of Soulé’s F_un geometry

Posted by in featured, graduate, Soule2004 No comments

Any possible definition of a variey over F_un should have a nice extension of scalars to the integers. In particular, we might expect to be able to control the behavior of such extension for the easiest family of rings defined over F_un: its finite abelian extensions F_un^n.

Oct 3, 2008

MPI F_un Study Seminar

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At the Max-Planck Institute for Mathematics in Bonn a weekly study seminar on F_un will start tuesday october 7th at 14.00 hrs.

Oct 3, 2008

Connes on YouTube

Posted by in Connes-C-M-2008, webcasts 1 comment

Alain Connes explaining the paper “Fun with F_un” on YouTube!

Oct 1, 2008

ceci n’est pas un corps

Posted by in featured, outreach, Tits1957 1 comment

To Gavin Wraiht a mathematical phantom is a “nonexistent entity which ought to be there but apparently is not; but nevertheless obtrudes its effects so convincingly that one is forced to concede a broader notion of existence”. Mathematics’ history is filled with phantoms getting the kiss of life.

Sep 22, 2008

Looking for F_un

Posted by in Connes-C-M-2008, featured, Soule1999, Soule2004, undergraduate 1 comment

In recent years several people spend a lot of energy looking for properties of an elusive object : the field with one element or in French : “F-un”. One of the motivations is the hope to prove the Riemann hypothesis by mimicking Weil’s proof in the case of curves.

Sep 21, 2008


Posted by in library, Manin2008 No comments

Yuri I. Manin : Cyclotomy and analytic geometry over F_un, arXived on September 9th, 2008 arXiv:0809.1564v1

Sep 21, 2008


Posted by in Connes-Consani2008, library No comments

Alain Connes and Caterina Consani : On the notion of geometry over F_un, arXived on September 17th,200b as arXiv:0809.2926

Sep 21, 2008


Posted by in Connes-C-M-2008, library No comments

Alain Connes, Caterina Consani and Matilde Marcolli : Fun with F_un, arXived on June 14th, 2000 as arXiv:0806.2401