ESF Mathematics Conference in Partnership with EMS and ERCOM: Algebraic Methods in Dynamical Systems
The conference is intended to give an account of the new results concerning algebraic methods in dynamical systems. Morales-Ramis theorem establishing the quasi-abelianity of the differential Galois group of the variational equation along a particular solution of a meromorphically completely integrable Hamiltonian system have led during the recent years to a big number of new results on non-integrability of Hamiltonian systems. More recently, the application of differential Galois theory to the study of Hamiltonian systems is no longer limited to Picard-Vessiot theory but is extended to the more general setting based on recent results of Malgrange and Umemura.
This conference is focused on new results both on dynamical systems obtained by the application of differential Galois theory and on the elaboration of more general differential and difference Galois theories.