Time: 9h00, 14/5/2014

Location: Room 6, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi

Abstract: I will present the problem of classification, up to smooth isomorphisms or up to orbital equivalence, of smooth integrable vector fields on  2-dimensional surfaces,  under some nondegeneracy conditions. We will consider an integrable system of type (1,1) by a couple (X,F) or (X,\cF), where X is a vector field on a 2-dimensional surface C such that X \neq 0 almost everywhere, F is a first integral of X (i.e. X(F)=0) such that dF \neq 0 almost everywhere, and \cF is the ring of all first integrals of X.