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Strongly NIP almost real closed fields

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Strongly NIP almost real closed fields

The following conjecture is due to Shelah–Hasson: Any infinite strongly NIP field is either real closed, algebraically closed, or admits a non-trivial definable henselian valuation, in the language of rings. We specialise this conjecture to ordered fields in the language of ordered rings, which leads towards a systematic study of the class of strongly NIP almost real closed fields. As a result, we obtain a complete characterisation of this class.

- Théorie des Modèles et Groupes

Détails :

Orateur / Oratrice : Salma Kuhlmann
Date : 12 mars 2019
Horaire : 14h00 - 15h30
Lieu : Sophie Germain salle 1016