Optimal knots

Members' Seminar
Topic:Optimal knots
Speaker:Abigail Thompson
Affiliation:University of California, Davis; Member, School of Mathematics
Date:Monday, November 2
Time/Room:2:00pm - 3:00pm/S-101

There are various notions of an ``optimal'' position for a knot in the 3-sphere. Beginning with Schubert's bridge position, I'll talk about some 1- and 2-parameter definitions of complexity for a knot, and explain some of the reasons they have been useful and how they are connected to similar notions for general 3-manifolds. Finally I'll discuss some some natural questions about more complicated complexities.