The Quest for $\mathbb{F}_\mathrm{un}$

The Quest for $\mathbb{F}_\mathrm{un}$

Wed, 04/11/2009
11:30 		Tobias Barthel (University of Oxford) Algebra Kinderseminar Add to calendar ChCh, Tom Gate, Room 2
The Quest for $ \mathbb{F}_\mathrm{un} $
We will present different ideas leading to and evolving around geometry over the field with one element. After a brief summary of the so-called numbers-functions correspondence we will discuss some aspects of Weil's proof of the Riemann hypothesis for function fields. We will see then how lambda geometry can be thought of as a model for geometry over $ \mathbb{F}_\mathrm{un} $ and what some familiar objects should look like there. If time permits, we will explain a link with stable homotopy theory.