Hébergé par le projet Géométrie et Dynamique de l’IMJ-PRG
Orateur(s)
Caio Henrique SILVA DE SOUZA - ,
Titre
Key polynomials and the defect of valued fields extensions
Date
24/02/2025
Horaire
14:00 à 15:00
Diffusion
Résume
In this talk, we will define key polynomials and explore their relationship with the defect of a valued field extension. We will present a formula for the defect in terms of Mac Lane-Vaquié chains and then reformulate it in terms of Spivakovsky's limit key polynomials. In addition, we will observe a connection between defectless fields and finite complete sequences of key polynomials.