media

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

Kurokawa2005

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

Manin2008

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


Sep 21, 2008

Connes-Consani2008

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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

Connes-C-M-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