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”.)

This is part 1 of a series of two lectures which I recently gave at a seminar in Ghent (April 28, 2011): “Introduction to Absolute Arithmetic”.

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.

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

Alain Connes and Caterina Consani : On the notion of geometry over F_un, arXived on September 17th,200b as arXiv:0809.2926

Alain Connes, Caterina Consani and Matilde Marcolli : Fun with F_un, arXived on June 14th, 2000 as arXiv:0806.2401

Nikolai Durov : New Approach to Arakelov Geometry, arXived April 16th, 2007 arXiv:0704.2030v1

Yuri I. Manin : The notion of dimension in geometry and algebra, Bull. AMS 43 (2006) 139-161.