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


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Orateur(s) Samaria Montenegro - U. Costa-Rica,
Titre Multi topological fields and NTP2
Horaire15:15 à 16:15

The pseudo-algebraically closed (PAC), pseudo real closed (PRC), and pseudo p-adically closed fields (PpC) are examples of unstable fields that have similarities, but have often been studied separately. In this talk, we propose a unified framework for studying these fields - the class of pseudo-T-closed fields, where T is an enriched theory of field. These fields verify a "local-global" principle for the existence of points on varieties based on models of T. This approach also enables a good description of some fields equipped with multiple V-topologies, particularly pseudo-algebraically closed fields with a finite number of V-topologies. 

One important result is a (model theoretic) classification result for bounded pseudo-T-closed fields, in particular we can show that under specific hypotheses in T, these fields are NTP2.

This is joint work with Silvain Rideau-Kikuchi

AdresseSophie Germain