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Real hyperbolic bundles over surfaces

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


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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