Elliot Kaplan - Max Planck Institute for Mathematics (Bonn),
Titre
Constant power maps on Hardy fields and transseries
Date
04/11/2024
Horaire
15:45 à 16:45
Diffusion
Résume
We study H-fields (certain ordered differential fields generalizing Hardy fields and transseries) equipped with "constant power maps". We show that this class has a model companion, the models of which include the field of LE-transseries and any maximal Hardy field. We study the induced structure on the constant field, prove a relative decidability result, and give some applications to certain systems of differential equations.
