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Séminaire Géométrie et théorie des modèles

Horaires : Le vendredi 23 janvier 2015, 16h

Lieu : ENS, salle W

Geometric dualities and model theory

Boris Zilber (Oxford)

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.

 

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