Non-Kähler SYZ mirror symmetry meet atom theory

• Grant number: 25/22312-1
• Support Opportunities: Scholarships abroad - Research Internship - Master's degree
• Start date: January 30, 2026
• End date: July 29, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Lino Anderson da Silva Grama
• Grantee: Pedro Antonio Muniz Martins
• Supervisor: Ludmil Katzarkov
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Institution abroad: Bulgarian Academy of Sciences (BAS), Bulgaria
• Associated to the scholarship: 24/07684-7 - Non-Kähler Calabi-Yau manifolds and mirror symmetry, BP.MS

Abstract

The goal of this master's project was to study non-Kähler SYZ mirror symmetry, focusing on the construction of new examples in high dimensions using solvmanifolds. Throughout the project, it was noted that the family of examples obtained provides some insights into the relationship between the newborn atom theory, as proposed by Katzarkov, Kontsevich, Pantev, and Yu, and non-Kähler SYZ. This BEPE project proposes to study the role played by atom on non-Kähler SYZ mirror symmetry.