Magnetic geodesics and Cheeger-esque inequalities for 1-forms

Geometry Lunch Seminar

WhenWednesday, October 14, 2026, 12:20 pm - 1:30 pm
Where114 McAllister
SpeakerCameron Rudd (zoom), University of Oxford
ContactRachel Weaver, Dmitri Burago, Anton Petrunin, Jeffrey Case, Dawit Mengesha

Abstract

I will discuss the Laplacian for differential 1-forms and how its small eigenvalues relate to isoperimetric inequalities (involving length, area, and stable commutator length) and the dynamics of magnetic geodesic flows via Mañé's critical values.

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