Abstract
In the present project will be studied the fundamental group of a topological space and some applications, like the theorem of Borsuk-Ulam and the Jordan curve theorem. The estimate time to cover the whole project is 22 months.
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Carolina de Miranda e Pereiro
CV Lattes
Universidade Federal de São Carlos (UFSCAR). Centro de Ciências Exatas e de Tecnologia (CCET) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Graduation degree in Mathematics from the Federal University of São Carlos (2008), a Master's degree in Mathematics from the Federal University of São Carlos (2011), and a Ph.D. in Mathematics from the Federal University of São Carlos and the Université de Caen Basse-Normandie (2015). Currently,she is a professor at the Federal University of Espírito Santo and has experience in Mathematics, with an emphasis on Algebraic Topology, focusing mainly on the following topics: Braid Groups and Surface Braid Groups, Borsuk-Ulam-type Theorems and Fixed Point Theory, Residual Properties of Groups, and Geometric Group Theory. (Source: Lattes Curriculum)
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Scholarships in Brazil
Scholarships abroad
- Braid group of the torus and the Klein bottle, BE.EP.DR
Abstract
We intend to study the braids groups of the torus, B_n(T), and the Klein bottle, B_n(K), with algebraic and geometric approach. We intend to give an explicit section to the Fadell-Neuwirth's short exact sequence of such groups, to study the embedding of B_n(K) in B_{2n}(T) and the lower central and derived series of such groups, some relations with the mapping class groups. Moreover we in…
Total / Available in English
| 3 / 2 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 4 / 3 | All Scholarships |
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