The knot concordance group

Job Candidate Talk
Tuesday, January 6, 2015 - 11:00am
1 hour (actually 50 minutes)
Skiles 006
Columbia University
Under the operation of connected sum, the set of knots in the 3-sphere forms a monoid. Modulo an equivalence relation called concordance, this monoid becomes a group called the knot concordance group. We will consider various algebraic methods -- both classical and modern -- for better understanding the structure of this group.