Bridgeland Stability and wall-crossing.

• Grant number: 16/25249-0
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: April 01, 2017
• End date: September 30, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Marcos Benevenuto Jardim
• Grantee: Victor Do Valle Pretti
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated scholarship(s): 19/05207-9 - Walls on Bridgeland stability conditions, BE.EP.DR

Abstract

The objective of this project is to study the article from Schmidt and the one from Gallardo, Huerta e Schmidt, to develop new perspectives towards the wall-crossing behavior on moduli spaces of sheaves on curves in P^3. For that it will be necessary to study the concept of Bridgeland stability, first studied as a concept of stability for triangulated categories.

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

PRETTI, Victor Do Valle. Estabilidade de Bridgeland assintótica e local. 2021. Doctoral Thesis - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.