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Constructing 4-hyperbolic manifolds

Grant number: 11/21100-8
Support Opportunities:Scholarships abroad - Research
Effective date (Start): April 01, 2012
Effective date (End): February 28, 2013
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Alexandre Ananin
Grantee:Alexandre Ananin
Host Investigator: Misha Verbitsky
Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Research place: Laboratory of Algebraic Geometry and its Applications, Russia  

Abstract

The main objective of this project is the construction of 4-hyperbolic manifolds, including compact complex hyperbolic manifolds. Nowadays, such a construction constitutes a fundamental area of geometry to which we have already given a few significant contributions (see item 2 of the project). The project includes an intense scientific collaboration with Misha Verbitsky. By participating in high standard events, we hope to widely disseminate the already obtained results. We strongly believe that the project will naturally lead to the development of new long-term scientific collaborations in the rich mathematical environment of the "Laboratory of algebraic geometry and its applications." (AU)

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