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Model theory of proalgebraic groups

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Model theory of proalgebraic groups

Inspired by the model theoretic study of profinite groups, we discuss the foundations of a model theoretic approach to proalgebraic groups. Our axiomatization is based on the tannakian philosophy. Through a tensor analog of skeletal categories we are able to consider neutral tannakian categories with a fibre functor as many-sorted first order structures. The theory of a diagonalizable proalgebraic group is well understood. It is determined by the theory of the base field and the theory of its character group. This is joint work with Anand Pillay.

- Théorie des Modèles et Groupes

Détails :

Orateur / Oratrice : Michael Wibmer
Date : 29 octobre 2019
Horaire : 16h00 - 17h30
Lieu : Sophie Germain salle 2015