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Around the Canonical Base Property

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Around the Canonical Base Property

The canonical base property (CBP) is a property of finite rank theories, which was introduced by Pillay and whose formulation was motivated by results of Campana in complex geometry. The main feature of such a property is that it provides a dichotomy for types of rank one, and in consequence one can reproduce Hrushovski’s proof of Mordell-Lang for function fields in characteristic zero with considerable simplifications.In this talk, I will motivate (via Mordell-Lang) the statement of the CBP and describe some results around the CBP, in particular on definable groups.

- Séminaire Géométrie et théorie des modèles

Détails :

Orateur / Oratrice : Daniel Palacin
Date : 22 mai 2015
Horaire : 16h00 - 16h00
Lieu : ENS Salle W