Geometry/topology Seminar
Monday, March 18, 2019, 3:15pm, 119 Physics
Mark A. Stern (Duke University, Mathematics)
A coarse Cheeger inequality for 1-forms

Abstract:

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. [video]

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