Conjectures related to knot complement commensurability

Abstract: Two manifolds $M_1$ and $M_2$ are commensurable if there is a third manifold $M_3$ that is a finite sheeted cover of $M_1$ and $M_2$. Neumann and Reid conjecture that at most 3 hyperbolic knot complements can be commensurable with each other. I will discuss what is known about the conjecture and open questions surrounding commensurable knot complements.

algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry

Audience: researchers in the topic

CRM - Séminaire du CIRGET / Géométrie et Topologie

Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html

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