Site Web DMA

Bannière DMA Site de l'ENS Site Paris Sciences et Lettres Site du CNRS Accueil

Théorie des Modèles et Groupes

Horaires : Le mardi 28 mars 2017, 16h

Lieu : Sophie Germain, salle 1016

NSOP_1, Kim-independence, and simplicity at a generic scale

Nick Ramsey (Berkeley/Jérusalem)

The class of NSOP_1 theories properly contains the simple theories and is contained in the class of theories without the tree property of the first kind. We will describe a notion of independence called Kim-independence, which corresponds to non-forking independence 'at a generic scale.' In an NSOP_1 theory, Kim-independence is symmetric and satisfies a version of Kim's lemma and the independence theorem. Moreover, these properties of Kim-independence individually characterize NSOP_1 theories. We will talk about what Kim-independence looks like in several concrete examples: parametrized equivalence relations, Frobenius fields, and vector spaces with a bilinear form. This is joint work with Itay Kaplan.


Autres séances du séminaire

45 rue d'Ulm - F 75230 PARIS cedex 05 | phone : (33) 1 44 32 20 49 | fax : (33) 1 44 32 20 69

Plan du site | Mentions légales | | Edition du site | Web site designed under SPIP