Constant power maps on Hardy fields and transseries

10.04.2025 15:00 - 15:50

E. Kaplan (Max Planck Institute for Mathematics, Bonn, DE)

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.

Organiser:

KGRC

Location:

HS 11, 2. OG, OMP 1