# 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.