The slice-ribbon conjecture and 3-stranded pretzel knots

Geometry Topology Student Seminar
Wednesday, February 9, 2022 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 006
Hugo Zhou – Georgia Tech
Roberta Shapiro and Weizhe Shen

This is an expository talk about the slice-ribbon conjecture. A knot is slice if it bounds a disk in the four ball. We call a slice knot ribbon if it bounds a slice disk with no local maxima. The slice-ribbon conjecture asserts all slice knots arise in this way. We also give a very brief introduction to Greene, Jabuka and Lecuona's works on the slice-ribbon conjecture for 3-stranded pretzel knots.