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Séminaire Géométrie et théorie des modèles

Horaires : Le vendredi 06 novembre 2015, 11h

Lieu : Sophie Germain, salle 1021

Nonarchimedean globally valued fields

Ehud Hrushovski (Hebrew University - FSMP)

In a joint research project with Itay Ben Yaacov, we study a class of fields enriched with a global structure tying together their various valuations by a product formula. This is an elementary class in the sense of continuous logic; the field of algebraic functions C(t)^{alg} is a prime example, and the Weil height function on projective space is a key example of a definable map into R. I will describe some of the connections to algebraic geometry on the one hand, and stability theory on the other. This will also be the subject of a more extended class at IHP next semester.


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