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An Introduction to Spectral Geometry and the Cheeger Constant
Student-Run Geometry/Topology Seminar| Speaker: | Brian Benson, UC Riverside |
| Related Webpage: | http://www.math.ucr.edu/~bbenson/ |
| Location: | 3106 MSB |
| Start time: | Tue, Jun 4 2019, 11:00AM |
This talk aims to give a gentle introduction to the relationship between the eigenvalues of the Laplace-Beltrami operator and the Cheeger constant in the setting of Riemannian manifolds. During this discussion, we will consider intuitive, physical descriptions of the Laplace-Beltrami operator and its eigenvalues. The Cheeger constant is a quantity related to the isoperimetric problem which can be used to bound the eigenvalues of Laplace-Beltrami operator of the manifold from above and below.