06-1350/Class Notes for Tuesday September 19

06-1350/Navigation Panel   # Week of... Links 1 Sep 11 About, Tue, Thu 2 Sep 18 Tue, Kurlin(P), Thu 3 Sep 25 Tue, Photo, Thu 4 Oct 2 HW1, Tue, Thu 5 Oct 9 Tue(P), Thu(P) 6 Oct 16 HW2, Tue(P), Thu(P) 7 Oct 23 Tue(P), Thu 8 Oct 30 HW3, Tue, Thu 9 Nov 6 Tue ($\nu$), Thu 10 Nov 13 Tue, Thu 11 Nov 20 HW4(P), Thu 12 Nov 27 Thu 13 Dec 4 Syzygies in Asymptote, Final Jan 8 Grades Note. (P) means "contains a problem that Dror cares about". Add your name / see who's in! On to 07-1352

Quick Plan

• Talk about 06-1350/Some Equations by Kurlin.

• Talk about some interesting properties of knots:
  1. Can it be unknotted in less than 3 crossing changes?
  2. Does it bound a disk in the 4-ball?

• Briefly mention a few other interesting properties of knots:
  1. Is it the closure of a braid on at most 6 strands?
  2. Does it have a projection with less than 23 crossings?
  3. Does it have an alternating projection?
  4. Is it algebraic?