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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Geometry and Topology Seminar: Eigenvalue estimates for the magnetic Laplacian on Riemannian manifolds

Presented by Norbert Peyerimhoff, Durham University

24 November 2016 13:00 in CM221

In this talk I will introduce basic concepts in connection
with the magnetic Laplacian on a manifold and will then discuss various
eigenvalue estimates for this operator. These estimates are analogues of
well known results for the classical Laplacian on functions: Cheeger and
higher order Cheeger inequalities, Lichnerowicz type inequalities, as
well as higher order Buser inequalities on manifolds with lower Ricci
curvature bounds. This material is based on joint work with Michela
Egidi, Carsten Lange, Shiping Liu, Florentin Muench, and Olaf Post.

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