, acting on the following subjects: caos, bifurcação de hopf, sistema dinâmico, atrator estranho and ensino. (Source: Lattes Curriculum)
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This project is divided into three parts. In the first part, we will address the problem of classifying the phase portrait at infinity of planar vector fields under topological equivalence. In the second part, we intend to use properties and information from the relationship between determinantal varieties and toric geometry, such as the concept of Newton polyhedron, to investigate condit…
During the visitor's stay, two main activities will be developed. The continuation of the project "Cobordism between Morse applications" that the researcher develops in collaboration with Brazilian researchers Marcelo José Saia, from UFSCAR, São Carlos, Alice Kimie Mia Libardi and Eliris Cristina Rizziolli, both from UNESP, Rio Claro. In addition, the visitor will give a course on polar m…
Studying Vector Fields in Singular Varieties, is the necessary element to understand the definition of the index of a singularity when the variety itself has singularities, as well as the important results related to this invariant. (AU)
One of the main goals of this project is to present the basic concepts of Toric Varieties, studying the elements necessary to understand the construction of such varieties, by using convex geometry and the combinatoric present in these objects. As an application of this theory, we intend to study more general classes of toric varieties, such as those from semigroups, as well as their norm…
In this project, we propose to investigate the computation of the Brasselet number in the global configuration, in the case of polynomial functions defined on toric varieties. In addition, we intend to use information from the toric varieties to study such invariants for classes of varieties which are related to toric geometry, such as non-degenerate complete intersections and determinant…
(Only some records are available in English at this moment)
The main goals of this project are to present a formula to compute the Euler obstruction for determinantal varieties, as well as to investigate conditions that guarantee Whitney equisingularity for this class of varieties. We intend to use properties and information from the relation between determinantal varieties and toric geometry, such as the concept Newton polyhedra. (AU)
| 1 / 1 | Ongoing grants |
| 1 / 1 | Completed research grants |
| 4 / 4 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 7 / 7 | All research grants and scholarships |
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