The Bogomolny equations with a knot singularity
Dr. Weifeng Sun
2024-01-09 14:00-15:00
N913
Speaker: Dr. Weifeng Sun (Stanford University)Time: 14:00-15:00 January 9, 2024 (Tuesday)
Place: N913
Title: The Bogomolny equations with a knot singularity
Abstract: The regular solutions of the Bogomolny equations on R^3 are well studied in the last century. There are at least two different famous approaches: The twistor method by Hitchin, Donaldson etc. and the pure analytical method by Taubes. In this talk, I will give a brief introduction on these approaches. Then I will use Taubes' approach to study the Bogomolny equations with a knot singularity. I hope these solutions will be useful in knot theory in the future.
