The aim of the working group is first to understand the theory of differential equations in zero characteristic, in particular we will classify differential equations on \(\mathbb C (\!(z)\!)\). Then, we will study differential equations in positive characteristic with the aim of proving a local-global principle, the Katz-Honda theorem.
Courses take place on every tuesday from 10:45am to 12:15pm in the Bourbaki room. Do not hesitate to email me questions or come to the T13 office to ask me questions directly.
Liste des séances:
Courses take place on every tuesday from 10:45am to 12:15pm in the Bourbaki room. Do not hesitate to email me questions or come to the T13 office to ask me questions directly.
Liste des séances:
- Séance 0 : Présentation du GT, le problème de l'algébricité des solutions d'une équations.
- Séance 1 : Corps différentiels, formalisme des modules à connections et \(D\)-modules. Lemme du vecteur cyclique.