Commensurability Classes of Hyperbolic Knot Complements

speaker: Michel Boileau (Institut de Mathématiques de Toulouse)

abstract: We will discuss commensurability classes of hyperbolic knot complements. In the generic case of knots without hidden symmetries we describe the commensurability classes modulo the generalized Berge conjecture. In this case we show that knot complements which are commensurable are cyclically commensurable, and that there are at most 3 hyperbolic knot complements in such a commensurability class. Moreover if two hyperbolic knots without hidden symmetries have commensurable complements, then they are fibered with the same genus and chiral. This is a joint work with S. Boyer, R. Cebanu et G. Walsh.

timetable:
Wed 25 May, 9:00 - 9:45, Aula Dini
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