Commensurability of knot complements

Geometry & Topology
Event time: 
Monday, April 6, 2009 - 12:30pm to Sunday, April 5, 2009 - 8:00pm
Genevieve Walsh
Speaker affiliation: 
Tufts University
Event description: 

Two three-manifolds are {\it commensurable} if they admit homeomorphic finite-sheeted covers. Here we investigate the commensurability classes of hyperbolic 3-manifolds. In particular we show that if $K$ is a hyperbolic knot without hidden symmetries, there are at most three knot complements in the commensurability class of $S^3 \setminus K$. There are only two knots in the tables which admit hidden symmetries, so this is conjecturally the generic case. This is joint work with Steve Boyer and Michel Boileau.

Special note: 
Note non-standard day