Séminaires : Théorie des modèles et groupes

Equipe(s) : lm,
Responsables :Z. Chatzidakis, F. Oger, F. Point
Email des responsables : zoe.chatzidakis@imj-prg.fr
Salle : 1013
Adresse :Salle 1013

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) Nick Ramsey - ENS,
Titre The transitivity of Kim-independence
Horaire16:00 à 17:30

The class of NSOP_1 theories contains the simple theories and many interesting non-simple theories, such as the omega-free PAC fields or generic vector spaces with a non-degenerate bilinear form. With Itay Kaplan, we introduced Kim-independence which agrees with non-forking independence within the simple theories and shares many of its nice properties within the simple NSOP_1 context. One very basic roadblock in lifting simplicity theory to the NSOP_1 setting, however, was transitivity: a free extension of a free extension should still be a free extension. This is almost immediate for non-forking extensions in a simple theory, but becomes more involved for free extensions in the sense of Kim-independence. We will describe and motivate the basic theory, and then discuss our recent proof of transitivity. This is joint with Itay Kaplan.



AdresseSalle 1013