|Responsables :||Zoé Chatzidakis, Raf Cluckers|
|Email des responsables :||email@example.com|
Pour recevoir le programme par e-mail, écrivez à : zchatzid_at_dma.ens.fr.
|Orateur(s)||Rémi Jaoui - U of Notre Dame (USA),|
|Titre||Linearization procedures in the semi-minimal analysis of algebraic differential equations|
|Horaire||16:30 à 18:00|
|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.