| Grant number: | 13/02543-1 |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| Start date: | October 01, 2013 |
| End date: | February 29, 2016 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Farid Tari |
| Grantee: | Hasegawa Masaru |
| Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Abstract There is a growing interest in applying singularity theory to the geometry of singular submanifolds in R^n. There are several reasons for this. One of them is that some singularities of these objects are stable, and another is that the singular submanifolds in question may originate from a smooth submanifold M. For example, the wave-fronts (parallels) and the caustic associated to a given smooth sub-manifold in R^n can have stable singularities. The geometry of the frontes and caustics do reveal rich geometric information about the original smooth submanifold M itself. We propose to study the geometry of parameterized surfaces in R^3 with A-simple singularities as well as the geometry of the fibres of functions with simple R-singularities. | |
| News published in Agência FAPESP Newsletter about the scholarship: | |
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