Topics in symplectic geometry and applications to mirror symmetry
Generalized complex geometry on homogeneous spaces, T-duality and applications to ...
Lagrangian submanifolds: open Gromov-Witten theory and Mirror Symmetry
| Grant number: | 16/20337-8 |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
| Effective date (Start): | March 01, 2017 |
| Effective date (End): | February 28, 2018 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Lino Anderson da Silva Grama |
| Grantee: | Leonardo Soriani Alves |
| Supervisor: | Ludmil Katzarkov |
| Host Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
| Research place: | University of Vienna, Austria |
| Associated to the scholarship: | 15/10937-5 - Generalized complex geometry on homogeneous spaces, T-duality and applications to mirror symmetry, BP.DR |
Abstract The project consists of studying two main topics. The first one is to understand relations between two different ways to make formal the conceptof mirror symmetry: homological mirror symmetry and mirror symmetry through generalized complex geometry. We are interested in mirror symme-try between 2-step nilmanifolds and the torus. The second one is to study a Fukaya conjecture about how a symplectic manifold can be the mirror of a family of complex manifolds parametrized by the 2 dimensional punctured disk and how it can be compactified to the whole disk, obtaining a singular fiber on zero. We will use the generalized complex language in order to lookat the problem from another angle. | |
| News published in Agência FAPESP Newsletter about the scholarship: | |
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