Bridgeland stability and the deformation theorem.

• Grant number: 23/17816-5
• Support Opportunities: Scholarships in Brazil - Master
• Start date: May 01, 2024
• End date: February 28, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Marcos Benevenuto Jardim
• Grantee: Diana Hernandes Arriel
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 21/04065-6 - BRIDGES: Brazil-France interplays in Gauge Theory, extremal structures and stability, AP.TEM
• Associated scholarship(s): 25/06054-2 - Bridgeland Stability and the deformation theorem., BE.EP.MS

Abstract

The present project aims the understanding of Bridgeland deformation theorem, whichsays that the set of stability conditions can be given the structure of a complex manifold. In order to achieve this, it will be necessary to study the Bridgeland stability as ageneralization of stability in curves.