Pour recevoir le programme, écrivez à oger_at_math.univ-paris-diderot.fr
Le mardi à 16h00 en salle 1013 (Sophie Germain) - http://semgrp.imj-prg.fr pour plus de renseignements.
Orateur(s)
Salma Kuhlmann - Konstanz,
Titre
Strongly NIP almost real closed fields
Date
12/03/2019
Horaire
14:00 à 15:30
Diffusion
Résume
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.