Hermitian structures and generalized complex geometry on homogeneous space.
Invariant Hermitian structures and geometric flows on homogeneous spaces
Generalized complex geometry on homogeneous spaces, T-duality and applications to ...
Grant number: | 12/07482-8 |
Support Opportunities: | Regular Research Grants |
Start date: | July 01, 2012 |
End date: | June 30, 2014 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
Principal Investigator: | Lino Anderson da Silva Grama |
Grantee: | Lino Anderson da Silva Grama |
Host Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
Abstract
The proposed project consists of applying Lie theory, in particular semissimple Lie theory, to the study of symplectic and Hermitian geometry of the homogeneous spaces.One of the proposed problems is the study of Lefschetz fibrations on adjoint orbits of semissimple Lie algebras, in order to describe explicitly certain geometric objects such as vanishing cycles and Lefschetz (Lagrangian) thimbles.Other proposed problems are the study of Hermitian structures on generalized flag manifolds in order to extend the results of San Martin-Negreiros, and the study of variational aspects of certain class of geodesics on flag manifolds. (AU)
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