| Grant number: | 22/03270-8 |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| Start date: | May 01, 2022 |
| End date: | May 31, 2023 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Daciberg Lima Gonçalves |
| Grantee: | Cesar Augusto Ipanaque Zapata |
| Host Institution: | Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil |
| Associated research grant: | 16/24707-4 - Algebraic, geometric and differential topology, AP.TEM |
Abstract This project deals with questions of spaces of configurations that have consequences in the study of braids and Nielsen's fixed point theory for multivalued functions. It has two sub-cases where one of them is about the configuration space where the manifold has dimension two and another case is when the space has dimension bigger than two. As typical questions that are current and explored, for example, to characterize the subgroups and classes of conjugation of the braid groups, to characterize the homotopy fiber of the inclusion of the configuration space in the product, the calculation of the Nielsen Number and the property of the fixed point for multivalued functions. | |
| News published in Agência FAPESP Newsletter about the scholarship: | |
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