Séminaires : Séminaire Général de Logique

Equipe(s) : lm,
Responsables :S. Anscombe, V. Bagayoko, D. Basak, H. Fournier
Email des responsables : sylvy.anscombe@imj-prg.fr, bagayoko@imj-prg.fr, basak@imj-prg.fr, fournier@imj-prg.fr
Salle : 1013
Adresse :Sophie Germain
Description

Archives


Abonnement à la liste de diffusion


Orateur(s) Léo Jimenez - Ohio State University,
Titre Internality of autonomous differential equations
Date10/02/2025
Horaire15:45 à 16:45
Diffusion
Résume

When solving a differential equation, one sometimes finds that solutions can be expressed using a finite number of fixed, particular solutions. As an example, the set of solutions of a linear differential equation is a finite-dimensional complex vector space. This is an incarnation of the model-theoretic phenomenon of internality to the constants in a differentially closed field of characteristic zero. In this talk, I will discuss some recent progress, joint with Christine Eagles, on finding methods to determine whether or not the solution set of a differential equation is internal. A corollary of our method also gives a criteria for solutions to be orthogonal to the constants, and in particular not Liouvillian. I will show a concrete application to Lotka-Volterra systems.

Salle1013
AdresseSophie Germain
© IMJ-PRG