We are looking for a full-time Ph.D. student to conduct research in “Absolute Algebraic Geometry”, which should lead to a Ph.D. degree in Science/Mathematics. Here are the details

The mini-symposium “Absolute Arithmetic and -Geometry” is part of the official scientific programme of the prestigious quadrennial European Congress of Mathematics (July 2-7 2012, Krakow, Poland). This conference is widely considered to be one of the most important mathematical gatherings around. The general character of the programme provides attendees with a unique chance of an [...]

Second part in a series which I gave at a seminar in Ghent (April 28, 2011): “Scheme theory over the field of characteristic one”. (The first part being “Introduction to Absolute Arithmetic”.)

Here is the recently published paper “The hyperring of adèle classes” (by Connes and Consani). ConnesConsani2011

Here is a link to a rather recent YouTube clip, where Alain Connes describes his joint paper with Consani The Hyperring of Adele Classes: .

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 [...]

Alain Connes and Katia Consani have updated their paper On the notion of geometry over F_un In the revised version, they include a definition for the notion of varieties that are not affine and go a bit further adding a new section with proposals for a new notion of scheme over F_un that involves replacing [...]

Matilde Marcolli: Cyclotomy and endomotives; arXived on January 20th, 2009: arXiv:0901.3167v1.

Lecture notes (in PDF) from Pierre-Emmanuel Chaput’s talk at the MPI F_un seminar

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