Classic geometries and the construction of hyperbolic manifolds
A classic geometry view of Teichmüller theory and variations on the Gromov-Lawson...
| Grant number: | 14/26284-8 |
| Support Opportunities: | Scholarships in Brazil - Scientific Initiation |
| Effective date (Start): | March 01, 2015 |
| Effective date (End): | September 30, 2015 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Alexandre Ananin |
| Grantee: | Christian Vilas Boas Lemos |
| Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Abstract The main goal of the project is the construction of new hyperbolic disc bundles over surfaces. We initially plan to present a new and more systematic construction of the known examples; eventually, we expect to improve the results of Feng Luo on the best known bound for the Gromov-Lawson-Thurston conjecture. The project is planned for 2-3 years, but we expect some developments to take place already in the first year. In spite of being young, the student has a considerable mathematical background; for instance, during the entire second semester, he attended to advanced undergraduate and graduate level seminars. | |
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