| Grant number: | 16/14580-7 |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| Start date: | March 01, 2017 |
| End date: | May 31, 2019 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Farid Tari |
| Grantee: | Juan Viu Sos |
| Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
| Associated research grant: | 14/00304-2 - Singularities of differentiable mappings: theory and applications, AP.TEM |
Abstract The project has two lines of research in applications of singularity theory to differential geometry and to algebraic geometry. In the first line of research, our purpose is to investigate the Minkowski Symmetry Sets of surfaces in the Minkowski 3-space and to seek Minkowski analogues of Damon's results on skeletal structure. Challenges arise at the locus of points on the surface where the induced pseudo-metric is degenerate. However, as we showed in our previous work, singularity theory approach to problems involving degenerate pseudo-metrics can lead to surprising results. The second line of research is inspired by the beneficiary's results in his PhD thesis and will focus on the the study of logarithmic vector fields on affine and projective line arrangements. There are also other problems of interests on periods of Kontsevich-Zagier using resolutions of singularities. (AU) | |
| News published in Agência FAPESP Newsletter about the scholarship: | |
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