OSU Mathematics Seminars and Colloquia
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Mon, Jul 17, 2017
Topology Seminar
3:30 PM
MSCS 509
Cheeger constants of arithmetic hyperbolic surfaces
Grant Lakeland, Eastern Illinois University
Host: Neil Hoffman
[Abstract] [PDF]
Abstract: Given a Riemann surface M, the Cheeger constant, h(M), is a geometric invariant which measures the extent to which M has ?bottlenecks? - a short, separating curve or collection of curves. We implement an algorithm of Benson to explicitly compute the Cheeger constant for a collection of arithmetic hyperbolic surfaces. The results have connections to arithmetic reflection groups, and to the relationship between the arithmetic and geometry of Fuchsian groups. This is joint work with Brian Benson.
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