Ph.D. Position in Absolute Arithmetic at Ghent University
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
Scheme theory over the field of characteristic one
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”.)
Gadgets a la Soulé
Inspired by the equivalent definition of a scheme as a particular kind of functor, Soulé gives his definition of a gadget over F_un as a couple consisting on a functor, that takes the rôle of the functor of points, and an algebra, which encodes a ‘topology at infinity’ and gives us the extra information that is missing in the functor.
Ph.D. Position in Absolute Arithmetic at Ghent University
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
Andre Weil on the Riemann hypothesis
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.
Kapranov-Smirnov on F_un
“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.”