MATH Seminar

Title: Commensurability classes of hyperbolic knot complements
Seminar: Topology
Speaker: Neil Hoffman of University of Texas
Contact: Aaron Abrams, abrams@mathcs.emory.edu
Date: 2010-11-10 at 2:00PM
Venue: MSC E408
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Abstract:
Two manifolds are commensurable if they share a common finite sheeted cover. In 2008, Reid and Walsh conjectured that there are at most 3 hyperbolic knot complements in a given commensurability class. Recently, Boileau, Boyer, Cebanu, and Walsh have shown that the conjecture holds in the case where the knot complements do not admit hidden symmetries. After introducing the necessary ideas, we will talk about the case where we assume hidden symmetries exist.

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