Spectra of the Laplacian on homogeneous spaces

• Grant number: 19/22453-3
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2020
• End date: March 31, 2021
• 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

Abstract

Our aim in this project is to understand the characterization of the spectrum of the Laplacian operator acting in the differential forms over the sphere and over the projective plane, with the ambition of trying to generalize such characterization to differential forms over homogeneous spaces. (AU)