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) Dario Garcia - Lyon I,
Titre Unimodularity unified
Horaire16:00 à 17:30
Résume Unimodularity was defined by Hrushovski, in his proof that a unimodular strongly minimal set is one-based, thus generalising Zilber's result that a locally finite strongly minimal set is 1-based. It was claimed in the same paper that unimodularity was equivalent to a weaker notion known later as functional unimodularity. In an attempt to clarify the situation, Pillay and Kestner distinguished two types of functional unimodularity -one for definable sets and one for type-definable sets- and studied their relationship in the context of strongly minimal structures.

In this talk, I will present joint with Wagner where we introduce yet another variant called correspondence unimodularity (for types and for definable sets) and present several results describing the relationship between the different concepts.

For instance, we show the variants of unimodularity for types coincide in omega-stable theories, and all variants coincide for non-multidimensional theories where the dimension is associated to strongly minimal types (e.g. strongly minimal theories or groups of finite Morley rank).
AdresseSalle 1013