Pour recevoir le programme par e-mail, écrivez à : antoine.ducros@imj-prg.fr
Orateur(s)
Rémi Jaoui - U of Notre Dame (USA),
Titre
Linearization procedures in the semi-minimal analysis of algebraic differential equations
Date
26/03/2021
Horaire
16:30 à 18:00
Diffusion
Résume
It is well-known that certain algebraic differential equations restrain in an essential way the algebraic relations that their solutions share. For example, the solutions of the first equation of Painlevé y'' = 6y^2 + t are “new” transcendental functions of order two which whenever distinct are algebraically independent (together with their derivatives).
I will first describe an account of such phenomena using the language of geometric stability theory in a differentially closed field. I will then explain how linearization procedures and geometric stability theory fit together to study such transcendence results in practice.
