Séminaires : Théorie des modèles et groupes

Equipe(s) : lm,
Responsables :T. Ibarlucia, F. Oger, F. Point
Email des responsables : francoise.point@imj-prg.fr
Salle : 1013
Adresse :Salle 1013
Description

Pour recevoir le programme, écrivez à oger_at_math.univ-paris-diderot.fr
Le mardi à 10h30 en salle  1013 (Sophie Germain) - https://semgrp.imj-prg.fr pour plus de renseignements.

Abonnement à la liste de diffusion


Orateur(s) Stefan Ludwig - Universite de Freiburg,
Titre Pseudofinite fields with additive and multiplicative character
Date03/06/2025
Horaire10:30 à 12:00
Diffusion
Résume

What is the common theory of all finite fields equipped with an additive and/or multiplicative character? Hrushovski answered this question in the additive case working in (a mild version of) continuous logic.

Motivated by natural number-theoretic examples we generalise his results to the case allowing for both (non-trivial) additive character and (sufficiently generic) multiplicative character.

Apart from answering the above question we obtain a quantifier elimination result and a generalisation of the definability of the Chatzidakis-Macintyre-van den Dries counting measure to this context.

The proof relies on classical results on bounds of character sums following from the work of Weil.

 

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