Analytic Hardy fields

06.06.2024 11:00 - 12:30

Matthias Aschenbrenner (University of Vienna)

Hardy fields are an algebraic setting for a tame part of asymptotic analysis. In this talk, after explaining some basic definitions around Hardy fields, I will focus on analytic Hardy fields, which are those that mainly arise in practice. I will explain a recent, in some sense ultimate, extension theorem for analytic Hardy fields, and I will give a few applications and state some open questions. (Joint work with L. van den Dries and J. van der Hoeven.)

Organiser:
F. Fürnsinn, H. Hauser
Location:

BZ 2, 2. OG., OMP 1