This research project deals with several notions of solvability associated to systems of complex vector fields, especially those systems which are locally integrable i.e. that admit a maximal number of linearly independent first integrals, as well as solvability of complex vector fields on manifolds of dimension N\geq3. We are interested in studying questions related to local solvability (in particular in the setting of some classes of ultradifferentiable functions e.g. Gevrey or, more generally, Denjoy-Carleman classes) as well as some global questions.
News published in Agência FAPESP Newsletter about the scholarship: