Eigenvalue estimates for magnetic Laplacians on Riemannian manifolds

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• Norbert Peyerimhoff (University of Durham)
• Monday 17 June 2019, 15:00-16:00
• CMS, MR13.

If you have a question about this talk, please contact Ivan Moyano.

he magnetic Laplacian on a Riemannian manifold is a modification of the classical Laplace-Beltrami operator via a differential one-form, called the magnetic potential. In this talk we will discuss a magnetic version of Lichnerowicz’ Theorem providing a spectral gap estimate between the first two eigenvalues and modifications of Cheeger isoperimetric constants involving the magnetic potential which lead to higher oder Cheeger and Buser type inequalities. This material is based on joint work with Michela Egidi, Carsten Lange, Shiping Liu, Florentin Muench and Olaf Post.

This talk is part of the Partial Differential Equations seminar series.

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