Title: Dehn surgery on hyperbolic knots

Speaker: Fionntan Roukema (Sheffield)

Abstract: A knot in the 3-sphere whose complement admits a hyperbolic
structure is called a hyperbolic knot. The process of gluing a solid
torus to the boundary component of the exterior of a knot is called
Dehn surgery. A well known result, due to Thurston, states that a
surgery on a hyperbolic knot that produces a non-hyperbolic 3-manifold
is, in some sense, exceptional. In this talk we will describe a
classification of the exceptional surgeries on the minimally twisted
5-chain link. We will then use this classification to describe
hyperbolic knots with exceptional surgeries at ``maximal" distance.