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Séminaire Géométrie et théorie des modèles

Horaires : Le vendredi 16 novembre 2018, 11h - 12h30

Lieu : ENS, Salle W

Non-standard analysis and non-archimedean geometry

Antoine Ducros (IMJ-PRG)

In this talk I will describe a joint work (still in progress) with E. Hrushovski and F. Loeser, in which we explain how the integrals I have defined with Chambert-Loir on Berkovich spaces can be seen (in the t-adic case) as limits of usual integrals on complex algebraic varieties; a crucial step is the development of a non-standard integration theory on a huge real closed field. I plan to devote a lot of time to the precise description of the objects involved, before stating our main theorem and saying a some words about is proof.


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