Aug 3, 2012

Ph.D. Position in Absolute Arithmetic at Ghent University

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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

Apr 18, 2012

Absolute Arithmetic at the 6th European Congress of Mathematics !

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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 [...]

Jan 25, 2012

Scheme theory over the field of characteristic one

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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”.)

Feb 11, 2011


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

Feb 2, 2011

The Hyperring of Adele Classes

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

Jan 21, 2010

Anyone interested?

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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 [...]

Mar 3, 2009

Update on CC paper

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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 [...]

Jan 30, 2009


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

Dec 15, 2008

Lecture notes from MPI seminar

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

Dec 1, 2008

un dessin d’enfance

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