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Spectrum of the Laplacian on Hermitian Vector Bundles over Homogeneous Spaces

Grant number: 20/15054-2
Support type:Scholarships in Brazil - Doctorate (Direct)
Effective date (Start): April 01, 2021
Effective date (End): February 28, 2025
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 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)