The knot concordance group

Series: 
Research Horizons Seminar
Wednesday, September 21, 2016 - 12:00
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
School of Mathematics, Georgia Institute of Technology
,  

Food and Drinks will be provided before the seminar.

A knot is a smooth embedding of S^1 into S^3 or R^3. There is a natural way to "add" two knots, called the connected sum. Under this operation, the set of knots forms a monoid. We will quotient by an equivalence relation called concordance to obtain a group, and discuss what is known about the structure of this group.