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Generalized complex geometry on homogeneous spaces, T-duality and applications to mirror symmetry

Grant number: 15/10937-5
Support Opportunities:Scholarships in Brazil - Doctorate
Start date: August 01, 2015
End date: February 28, 2019
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Lino Anderson da Silva Grama
Grantee:Leonardo Soriani Alves
Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Associated research grant:12/18780-0 - Geometry of control systems, dynamical and stochastics systems, AP.TEM
Associated scholarship(s):16/20337-8 - Topics on mirror symmetry and applications, BE.EP.DR

Abstract

The project is to study generalized complex structures on nilmanifolds and generalized flag manifolds. One of the problems is to 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 the classification of invariant generalized complex structures on flag manifolds, using Lie theory; and the study of the relations between spherical T-lduality and generalized complex geometry.

News published in Agência FAPESP Newsletter about the scholarship:
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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
DEL BARCO, VIVIANA; GRAMA, LINO; SORIANI, LEONARDO. T-duality on nilmanifolds. Journal of High Energy Physics, n. 5, . (15/10937-5, 15/23896-5, 17/13725-4, 12/18780-0, 16/22755-1)
DEL BARCO, VIVIANA; GRAMA, LINO; SORIANI, LEONARDO. T-duality on nilmanifolds. Journal of High Energy Physics, v. N/A, n. 5, p. 25-pg., . (15/23896-5, 12/18780-0, 17/13725-4, 16/22755-1, 15/10937-5)
Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
ALVES, Leonardo Soriani. T-dualidade e simetria do espelho em nilvariedades. 2019. Doctoral Thesis - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.