1-shifted symplectic groupoids

• Grant number: 25/05536-3
• Support Opportunities: Scholarships in Brazil - Master
• Start date: September 01, 2025
• End date: August 31, 2027
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Cristián Andrés Ortiz González
• Grantee: Matheus Soler
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

In this master project we study 1-shifted symplectic groupoids as smooth models for symplectic stacks. We investigate the relation between these objects and Dirac structures, as well as applications in topological field theories. (AU)