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A coarse Cheeger inequality for 1-forms

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Monday, March 18, 2019
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3:15 pm - 4:15 pm
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Mark A. Stern (Duke University, Mathematics)
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Geometry/Topology Seminar

Motivated by questions about the spectral geometry of hyperbolic manifolds, arising in number theory, we seek a lower bound for the first nonzero eigenvalue of the Laplace Beltrami operator on 1-forms on hyperbolic manifolds. We prove an analog of Cheeger's inequality. Joint work with Michael Lipnowski.