Séminaires : Théorie des modèles et groupes

Equipe(s) : lm,
Responsables :T. Ibarlucia, F. Oger, F. Point
Email des responsables : francoise.point@imj-prg.fr
Salle : 1013
Adresse :Salle 1013
Description

Pour recevoir le programme, écrivez à oger_at_math.univ-paris-diderot.fr
Le mardi à 10h30 en salle  1013 (Sophie Germain) - https://semgrp.imj-prg.fr pour plus de renseignements.

Abonnement à la liste de diffusion


Orateur(s) Scott Mutchnik - IMJ-PRG,
Titre The Koponen conjecture, part one
Date08/10/2024
Horaire10:30 à 12:00
Diffusion
Résume

This will be the first talk on our solution, with John Baldwin and James Freitag, to the Koponen conjecture. As part of Shelah’s program of classifying unstable first-order theories, Koponen proposes to classify simple homogeneous structures, such as the random graph. More precisely, she conjectures (2016) that all simple theories with quantifier elimination in a finite relational language are supersimple of finite rank, and asks (2014) whether they are one-based. In this talk, we give an overview of our solution to the Koponen conjecture, where we show that the answer to this question is yes.

Salle1016
AdresseSophie Germain
© IMJ-PRG