Posted in

Speaker:

Marius van der Put
Affiliation:

Groningen University
Date:

Wed, 2018-04-18 14:30 - 15:30
Location:

MPIM Lecture Hall
Parent event:

MPIM/HIM-Number theory lunch seminar We consider a first order differential equation of the form $f(y'; y) = 0$ with $f\in K[S; T]$ and $K$ a

differential field either complex or of positive characteristic. We investigate several properties of $f$,

namely the 'Painlevé property' (PP), solvability and stratification. A modern proof of the classication

of first order equations with PP is presented for all characteristics. A version of the Grothendieck-Katz

conjecture for first order equations is proposed and proven for special cases. Finally the relation with

Malgrange's Galois groupoids and model theory is discussed.

© MPI f. Mathematik, Bonn | Impressum & Datenschutz |