SMS scnews item created by Jonathan Hillman at Fri 4 Apr 2008 1002
Type: Seminar
Distribution: World
Expiry: 18 Apr 2008
Calendar1: 18 Apr 2008 1405-1500
CalLoc1: Carslaw 175
Auth: jonh@asti.maths.usyd.edu.au
Joint Colloquium: Silver -- When knots don't fiber
In this joint work with Susan Williams we consider the conjecture:
a knot is nonfibered if and only if its infinite cyclic cover has
uncountably many finite covers. We prove it for a class of knots that
includes all knots of genus 1. We also discuss two equivalent forms of
the conjecture, one involving twisted Alexander polynomials, the other
a weak form of subgroup separability.
[Notes added by JAH.
(1) This is in Carslaw 175, not the usual room.
(2) Susan Williams shall be giving a JC on
"Knots and Algebraic Dynamical Systems"
(also joint work with Dan Silver) at UNSW, on Thursday 24 April.
Details shall be posted separately.]