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Séminaire Géométrie et théorie des modèles

Horaires : Le vendredi 22 mai 2015, 16h

Lieu : ENS, salle W

Around the Canonical Base Property

Daniel Palacin (Muenster)

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.

 

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