| Grant number: | 18/12273-5 |
| Support type: | Scholarships in Brazil - Post-Doctorate |
| Effective date (Start): | November 01, 2018 |
| Effective date (End): | October 31, 2022 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
| Principal researcher: | Paulo Leandro Dattori da Silva |
| Grantee: | Gabriel Cueva Candido Soares de Araújo |
| Home Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
| Associated research grant: | 18/14316-3 - Geometric theory of PDE and multidimensional complex analysis, AP.TEM |
| Associated scholarship(s): | 19/27084-6 - Two integrability problems in the theory of involutive structures, BE.EP.PD |
Abstract 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. | |
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