|Responsables :||Zoé Chatzidakis, Raf Cluckers, Silvain Rideau.|
|Email des responsables :||firstname.lastname@example.org|
Pour recevoir le programme par e-mail, écrivez à : zchatzid_at_dma.ens.fr.
|Orateur(s)||Nick Ramsey - ENS,|
|Titre||Constructing pseudo-algebraically closed fields|
|Horaire||16:00 à 17:30|
A field K is called pseudo-algebraically closed (PAC) if every absolutely irreducible variety defined over K has a K-rational point. These fields were introduced by Ax in his characterization of pseudo-finite fields and have since become an important object of study in both model theory and field arithmetic. We will explain how the analysis of a PAC field often reduces to questions about the model theory of the absolute group and describe how these reductions combine with a graph-coding construction of Cherlin, van den Dries, and Macintyre together with to construct PAC fields with prescribed combinatorial properties.