Bruno Poizat : Parameters in AC fields

Posted by Matthew Harrison-Trainor , part of the Logic Seminar.

At

Nov. 5, 2024, 2 p.m.

In

636 SEO

Abstract

We study the connections between the automorphisms of an AC field K and the automorphisms of a structure S definable in it. Our methods are model theoretic and use a minimum of algebra. As an application, we show that the automorphisms of a simple algebraic group G over K acts on a copy L of K, with kernel the geometric automorphisms of G.