Spectrum of the Laplacian on Hermitian Vector Bundles over Homogeneous Spaces

• Grant number: 20/15054-2
• Support Opportunities: Scholarships in Brazil - Doctorate (Direct)
• Effective date (Start): April 01, 2021
• Effective date (End): June 30, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Henrique Nogueira de Sá Earp
• Grantee: Luiz Henrique Lara dos Santos
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 18/21391-1 - Gauge theory and algebraic geometry, AP.TEM
• Associated scholarship(s): 23/07224-3 - Stability of Yang-Mills-Higgs fields and the vortex equations in CP^n, BE.EP.DD

Abstract

Our aim in this project is to generalize the known techniques of description of the spectra of the Laplacian acting on differential forms over homogeneous spaces, but now considering the case of Laplacian acting on sections of any vector bundle over a homogeneous space. (AU)