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.

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Orateur(s) Sobhi Massalha - Bilbao,
Titre Sentences over Random Groups
Date19/11/2024
Horaire10:30 à 12:00
Diffusion
Résume

The Tarski problem asks whether all finitely generated non-abelian free groups share the same first-order theory. In 2006, Z. Sela answered this question affirmatively. Building on this result, a natural extension is to explore which groups can or cannot be distinguished from non-abelian free groups by first-order sentences. We prove that almost all the (finitely generated) groups cannot be distinguished from non-abelian free groups by a given first-order sentence. Namely, we prove that for a random group (in the Gromov density model, for any density d<0.5), the group cannot be distinguished from a finitely generated non-abelian free group by a given (minimal rank) sentence, in overwhelming probability.

Salle1013
AdresseSalle 1013
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