Séminaires : Séminaire Général de Logique

Equipe(s) : lm,
Responsables :S. Anscombe, A. Vignati
Email des responsables : sylvy.anscombe@imj-prg.fr, vignati@imj-prg.fr
Salle : 1013
Adresse :Sophie Germain


Abonnement à la liste de diffusion

Orateur(s) Françoise Point - FNRS - Mons,
Titre On large fields of characteristic 0 endowed with a generic derivation
Horaire16:00 à 17:15
Diffusion https://u-paris.zoom.us/rec/share/4Gj6emArKhGp9-6-w3FZ_ims5-ks61c19Utt_x37QolhHQ-OzPd7_ji9iMBQHllV.OtULk4j4u4Ff4eyP
RésumeWe first describe classes of topological large fields of characteristic 0 which can be endowed with a generic derivation. This kind of derivation recently occurred in the work of W. Johnson to describe a basis of neighbourhoods of 0 in fields of finite dp-rank (but not of finite Morley rank). We then review results we obtained with P. Cubidès on the model theory of the corresponding classes of differential fields. Finally we consider definable groups, adapting former results of A. Pillay and K. Peterzil in the o-minimal case.
AdresseSophie Germain