Non-Kähler Calabi-Yau manifolds and mirror symmetry

• Grant number: 24/07684-7
• Support Opportunities: Scholarships in Brazil - Master
• Start date: December 01, 2024
• End date: July 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Lino Anderson da Silva Grama
• Grantee: Pedro Antonio Muniz Martins
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 18/13481-0 - Geometry of control, dynamical and stochastic systems, AP.TEM

Abstract

The proposed project consists of the study of SYZ mirror symmetry in the context of non-Kähler Calabi-Yau manifolds, with an emphasis on the construction of mirror pairs in the context of solvable/nilpotent manifolds. By the end of the project, the candidate is expected to be able to construct examples of mirror pairs in 8-dimensional solvable manifolds.