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Piecewise Interpretable Hilbert Spaces (II)

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Piecewise Interpretable Hilbert Spaces (II)

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.

- Théorie des Modèles et Groupes

Détails :

Orateur / Oratrice : Alexis Chevalier (Oxford)
Date : 5 avril 2022
Horaire : 14h15 - 17h45
Lieu : Sophie Germain salle 1016.