Differential Geometry Working Seminar | Paul Cusson | Spectral data of SU(2)-monopoles with symmetry group S^1

Tuesday, September 29, 2026 2:30 pm - 4:00 pm EDT (GMT -04:00)
Paul Cusson (University of Waterloo)
Spectral data of SU(2)-monopoles with symmetry group S^1
We will prove the existence and uniqueness of a Euclidean SU(2)-monopole with a given charge, center, S^1 symmetry group, and axis of symmetry. This will be proven using a theorem of Hitchin regarding the equivalence of SU(2)-monopoles and the cohomological data obtained from spectral curves.
MC 5417