A coarse Cheeger inequality for 1-forms. UF Topology Seminar. University of Florida. January 14, 2020 - January 14, 2020
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."