OSU Mathematics Seminars and Colloquia
Tue, Mar 26, 2019
Topology Seminar
3:30 PM
MSCS 509
Commensurability classes of fully augmented pretzel links
Christian Millichap, Furman University
[Abstract] [PDF]
Abstract: Fully augmented links (FALs) are a large class of links whose complements admit hyperbolic structures that can be explicitly described in terms of combinatorial information coming from their respective link diagrams. In this talk, we will examine an infinite subclass of FALs that are constructed by fully augmenting pretzel links and describe how to build their hyperbolic structures. We will then discuss how we can use the geometries of these link complements to analyze arithmetic properties and commensurability classes of these links. This is joint work with Jeffrey S. Meyer and Rolland Trapp.
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