Explore a mathematical lecture examining the stability of spectra under coverings, focusing on Riemannian manifolds and eigenfunction analysis. Delve into whether eigenfunctions on manifold M with eigenvalues in (0,Λ) exist independently of pull-backs from manifold N when considering a Riemannian covering p:M→N of closed Riemannian manifolds. Learn from Werner Ballmann's collaborative research with Sugata Mondal as they present various approaches and solutions to this fundamental question in spectral geometry.
Stability of Spectra Under Riemannian Manifold Coverings
Institut des Hautes Etudes Scientifiques (IHES) via YouTube
Overview
Syllabus
Werner Ballmann - On the stability of spectra under coverings
Taught by
Institut des Hautes Etudes Scientifiques (IHES)
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