Author Archive

Jan 21, 2010

Anyone interested?

Posted by in news 6 comments

I’m about to write a series of posts on Borger’s notion of geometry over the field with one element using lambda-rings. Problem remains : where should I post them? Here, or elsewhere? In other words, are there any humans left here (or are the 50 to 60 daily hits robot-performed), and, more importantly, are any [...]

Dec 1, 2008

un dessin d’enfance

Posted by in Manin2008, news 1 comment

Slides are available of a talk given last week in Reims on Manin’s analytic F_un-geometry.

Oct 31, 2008

Halloween-talk : prep-notes

Posted by in KapranovSmirnov, Kurokawa2005, Manin1995, Manin2006, Manin2008, news No comments

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

Oct 28, 2008

Consani on F_un

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

Katia Consani gave a talk “On the notion of geometry over F_un” at the Fields institute.

Oct 16, 2008

noncommutative F_un geometry (2)

Posted by in research No comments

Last time, we tried to generalize the Connes-Consani approach to the noncommutative world but didn’t specify what we meant by noncommutative varieties or schemes and how they were related to Grothendieck’s dessins d’enfants. That’s what we will do today.

Oct 15, 2008

Kapranov-Smirnov on F_un

Posted by in quotes No comments

“One can postulate, of course, that spec(F_un) is the absolute point, but the real problem is to develop non-trivial consequences of this point of view.”

Oct 13, 2008

noncommutative F_un geometry (1)

Posted by in Connes-Consani2008, research 4 comments

It is perhaps surprising that Alain Connes and Katia Consani, two icons of noncommutative geometry, restrict themselves to define commutative algebraic geometry over the field with one element. Remains the fact that their approach screams for a noncommutative extension.

Oct 12, 2008

Andre Weil on the Riemann hypothesis

Posted by in featured, outreach 7 comments

Don’t be fooled by introductory remarks to the effect that ‘the field with one element was conceived by Jacques Tits…’ Let’s have it out into the open : F_un mathematics’ goal is no less than proving the Riemann Hypothesis.

Oct 12, 2008

Fields Institute Workshop

Posted by in news No comments

The Fields Institute organizes a Workshop on Arithmetic Geometry with talks by Soule, Consani and Durov a.o. and topics including Arakelov geometry (‘including the infinity-adic’) and ‘Generalized rings and schemes’.

Oct 10, 2008

one week F_un blogging

Posted by in news No comments

Our highly paid IC-experts do not know that MPG also stand for the Max Planck Gesellschaft and that the string .mpg. is contained in all official email-addresses from MPI … This almost prematurely killed this blog.