Hardy fields, o-minimal structures, and connections to Hilbert 16

17.05.2018 13:30 - 15:00

Tobias Kaiser (Univ. Passau)

Abstract: In joint work with Patrick Speissegger we have recently constructed 

a Hardy field which contains all transition maps of plane polynomial vector fields 

at hyperbolic singularities and all unary functions definable in the o-minimal 

expansion of the real field by restricted analytic functions and exponentiation. 

In this talk I explain these notions and their connections and discuss how 

o-minimality can make some contributions to questions around Hilbert 16.

A. Rainer

SR 8, 2. OG, OMP 1