| Grant number: | 22/09603-9 |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| Start date: | October 01, 2022 |
| End date: | July 02, 2025 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Lino Anderson da Silva Grama |
| Grantee: | Leonardo Francisco Cavenaghi |
| Host Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
| Associated research grant: | 18/13481-0 - Geometry of control, dynamical and stochastic systems, AP.TEM |
| Associated scholarship(s): | 23/14316-1 - Spherical T-duality and exotic spheres, BE.EP.PD |
Abstract This postdoctoral research program lies in the area of Riemannian geometry with two main focus: in the subarea of positive/non-negative curvatures, we aim via the study of the geometry and dynamics of exotic spheres, to possibly find invariants and/or hints to the existence/obstruction to metrics with such curvature assumptions on exotic manifolds and manifolds with symmetries in the form of group actions and/or singular Riemannian foliations; in the subarea of homogeneous or locally symmetric spaces, we seek to classify Riemannian foliations on these manifolds. Proofs of concept of the expected success of this research are explicitly given through all the text. | |
| News published in Agência FAPESP Newsletter about the scholarship: | |
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