| 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. |
| Salle | salle Pierre Grisvard, IHP |
| Adresse | IHP |
