Yang—Mills gauge theory and Dehn surgery problems

Series
Geometry Topology Seminar
Time
Monday, October 27, 2025 - 4:30pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Aliakbar Daemi – Washington University in St. Louis – adaemi@wustl.eduhttps://www.math.wustl.edu/~adaemi/
Organizer
Randy Van Why

In their celebrated work, Gordon and Luecke proved that knots in the three-dimensional sphere are determined by their complements. Their result inspired several conjectures seeking to generalize the theorem, including "Cosmetic surgery conjecture" proposed by Gordon and the "Knot complement problem for null-homotopic knots" proposed by Boileau. In this talk, I will discuss applications of tools from Yang—Mills gauge theory to these Dehn surgery problems.