|Coordinates:||JH Michell Theatre in the Richard Berry Building|
|Speaker:||Ian Agol (UC Berkeley)|
|Title:||Presentation length and Simon's conjecture|
(Joint work with Yi Liu.)
In this paper, we show that any knot group maps onto at most finitely many knot groups. This gives an affirmative answer to a conjecture of J. Simon. We also bound the diameter of a closed hyperbolic 3-manifold linearly in terms of the presentation length of its fundamental group, improving a result of White.