October 2008 Archives

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 29, 2008

More lecture notes from MPI seminar

Posted by in library, news No comments

Handwritten notes from the third and fourth lectures at the MPI F_un seminar.

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 14, 2008

Lecture notes for MPI seminar

Posted by in library, news No comments

Handwritten notes from the lectures at the MPI F_un seminar

Oct 14, 2008

Quomodocumque on F_un (Update 10-21)

Posted by in news No comments

In a follow-up post, F_un and the braid group – a note of skepticism, arguments are collected against the claim that the d-string braid group should be invertible dxd matrices over the polynomials over F_un.

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

F_un and group representations

Posted by in featured, research 4 comments

Grothendieck’s anabelian geometry is an example of noncommutative F_un geometry. Javier starts this series with ramblings on how the folklore about F_un can be used to relate linear and permutation representations of finite groups.