Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
home | mail | papers | authors | news | seminars | events | open positions | login

Liouville integrability: an effective Morales-Ramis-Simo theorem

Thomas Dreyfus

created by daniele on 27 May 2015

28 may 2015 -- 14:00

Sala Conferenze, Collegio Puteano, Pisa

Seminari di Dinamica Olomorfa, Pisa


Morales-Ramis theorem roughly states as follows: Given an Hamiltonian system, we may linearize it to obtain the variational equation. Then, we associate to the variational equation a group, the differential Galois group. Morales and Ramis have proved that if the Hamiltonian system is integrable in a certain sense, then the Galois group has a certain algebraic property. This theorem has been generalized by Morales-Ramis-Simo. In this talk, we will explain how to check effectively whether the algebraic property of the Galois group is satisfied or not.

Credits | Cookie policy | HTML 5 | CSS 2.1