Not Only Scalar Curvature Seminar

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On the stability of spectra under coverings

By Werner Ballmann

Given a Riemannian covering $p\colon M\to N$ of closed Riemannian manifolds and a number $\Lambda>0$, are there eigenfunctions on $M$, with eigenvalue in $(0,\Lambda)$, which are not pull-backs of eigenfunctions on $N$? I will discuss this question and different answers (joint work with Sugata Mondal).

Information about the video

Date of recording 30/10/2024
Date of publication 05/11/2024
Institution IHES
Licence CC BY-NC-ND
Language English
Audience Researchers
Format MP4

Domain(s)

Differential Geometry

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