| Grant number: | 16/22755-1 |
| Support Opportunities: | Regular Research Grants |
| Duration: | February 01, 2017 - April 30, 2019 |
| 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 |
| Associated grant(s): | 18/14745-1 - Categorical Kaehler geometry and geometric invariants, AP.R SPRINT |
Abstract
The proposed project consists of applying Lie theory, in particular semissimple Lie theory, to the study of symplectic and Hermitian geometry of homogeneous spaces.One of the proposed problems is construct examples of mirror manifolds of nilmanifolds, using generalized complex geometry and T-duality (in the sense of Bouwknegt-Hannabuss-Mathai). Other proposed problems are: classification of the invariant generalized complex structures on flag manifolds; the study of the geometry of the moduli space of $J$-holomorphic curves on homogeneous space; and the study of geometric formality on homogeneous space. (AU)
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