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Lefschetz fibrations, Lie groupoids and noncommutative geometry

Grant number: 19/13204-0
Support Opportunities:Regular Research Grants
Duration: March 01, 2020 - February 28, 2022
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Convênio/Acordo: Comisión Nacional de Investigación Científica y Tecnológica (CONICYT)
Principal Investigator:Cristián Andrés Ortiz González
Grantee:Cristián Andrés Ortiz González
Principal researcher abroad: Elizabeth Terezinha Gasparim
Institution abroad: Universidad Católica del Norte, Antofagasta, Chile
Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil


In this project we study symplectic Lefschetz fibrations on certain classes of symplectic manifolds, namely, symplectic leaves of semi-simple Poisson Lie groups and nilpotent adjoint orbits. We also study the Fukaya-Seidel category of symplectic leaves of Poisson Lie groups and their homogeneous Poisson spaces, by studying the Fukaya-Seidel category of the corresponding symplectic groupoids integrating a Poisson Lie group and their homogeneous spaces, respectively. Other topics such as: deformations of Calabi-Yau threefolds, characteristic classes of stacks, deformations of complex manifolds and homological Mirror Symmetry, are presented as Ph.D. projects related to this research proposal. (AU)

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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)
GASPARIM, ELIZABETH; SUZUKI, BRUNO. Curvature grafted by instantons. INDIAN JOURNAL OF PHYSICS, . (19/13204-0)
GASPARIM, ELIZABETH; SUZUKI, BRUNO. Curvature grafted by instantons. INDIAN JOURNAL OF PHYSICS, v. 95, n. 8, SI, p. 1631-1638, . (19/13204-0)

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