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Geometric dualities and model theory

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Geometric dualities and model theory

Geometries can be given in a direct semantic way, say as a complex or real manifold, or more abstractly, by their co-ordinate algebras and schemes. A duality of this kind becomes highly non-trivial in cases of schemes of arithmetic type and for non-commutative co-ordinate algebras. I will discuss these issues from model-theoretic perspective. A detailed analysis will be given to the canonical commutation relation(s) underlying quantum mechanics. Some applications will be presented.

- Séminaire Géométrie et théorie des modèles

Détails :

Orateur / Oratrice : Boris Zilber
Date : 23 janvier 2015
Horaire : 16h00 - 16h00
Lieu : ENS Salle W