Differential Galois Theory and Applications to Mechanics

As it is described in the title the CIMPA School on “Differential Galois Theory and Applications to Mechanics” will be devoted to the application of the differential equation coming from Mechanical problems using tools from differential algebra and specifically the Differential Galois group.

Very recently has appeared the techniques which enable the use of the differential Galois theory to study the integrability of Hamiltonian systems. These techniques known as Morales-Ramis-Simó theorems were originally used to study integrability of Hamitonian differential equations describing mechanical systems. Nowadays there exist many generalizations of this seminal work and application beyond classical mechanics.

The aim of the CIMPA school is to provide a complete introduction to the subject starting from the background in differential Galois Theory and classical Hamiltonian differential equation and ending with the newest progress in this area of research.

The lecturers for this CIMPA school are: David Blázquez-Sanz, Juan J. Morales-Ruiz, Guy Casale, María Przybylska, Jacques-Arthur Weil and Maria-Ángeles Zurro. The speakers are Jean-Pierre Ramis, Andrzej Maciejewski, Chara Pantazi, Teresa Crespo, Primitivo Acosta-Humánez The School starts with the opening speaker Jean-Pierre Ramis and will close with a panel about women in mathematics.

Official language of the school: English

Contact: https://ecimpa.spc.edu.do