Prequantization of quasi-symplectic groupoids

• Grant number: 22/11607-2
• Support Opportunities: Scholarships in Brazil - Master
• Start date: December 01, 2022
• End date: November 30, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Cristián Andrés Ortiz González
• Grantee: Stiven Ramírez Quintero
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

In this project we study the geometry of S^1-gerbes with connection to describe a geometric pre-quantization of quasi-symplectic groupoids and their Hamiltonian spaces. As an application, we describe a pre-quantization of quasi-Hamiltonian spaces in the sense of Alekseev-Malkin-Meinrenken.