Sep 12 – 14, 2022
Toulouse
Europe/Paris timezone

Abelian reduction of differential equations

Sep 13, 2022, 3:30 PM
40m
Toulouse

Toulouse

Amphithéâtre Laurent Schwartz, Bat 1R3, UPS

Speaker

Dr Rémi Jaoui (CNRS)

Description

Kolchin’s differential Galois theory is a generalization of Picard-Vessiot theory for which the Galois groups are algebraic groups but not necessarily linear. In the one dimensional case, Kolchin’s theory can be applied to the study of elliptic differential equations and Riccati equations.

I will describe some structural results concerning the higher-order differential equations (and in particular a full classification of the second-order autonomous equations) to which Kolchin’s theory can be applied. This is joint work with Rahim Moosa.

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