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) Alexis Chevalier - University of Oxford,
Titre Piecewise Interpretable Hilbert Spaces (II)
Horaire14:15 à 15:45

We continue the discussion of piecewise interpretable Hilbert spaces from the Monday seminar. We will prove the main structure theorem of `Piecewise Interpretable Hilbert Spaces' (C., Hrushovski) which analyses a scattered piecewise interpretable Hilbert space into asymptotically free subspaces. We will clarify the model theoretic content of this theorem, highlighting the roles of one-basedness and strong minimality.  We will also study its representation theoretic content, establishing a connection with induced represetnations. We will see that this theorem generalises a theorem of Tsankov about unitary representations of oligomorphic groups. This is joint work with Ehud Hrushovski.

AdresseSalle 1013