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Spectra of the Laplacian on homogeneous spaces

Grant number: 19/22453-3
Support type:Scholarships in Brazil - Master
Effective date (Start): March 01, 2020
Effective date (End): March 31, 2021
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Henrique Nogueira de Sá Earp
Grantee:Luiz Henrique Lara dos Santos
Home 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)