Thursday, February 12, 2026 2:30 pm
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3:45 pm
EST (GMT -05:00)
Paul Cusson , University of Waterloo
Spectral curves of Euclidean SU(N)-monopoles
Monopoles over Euclidean R^3 with gauge group SU(N), originally analytic objects, can be studied using the algebro-geometric properties of their spectral curves. We will discuss known results about these curves and how they depend on the asymptotics of the monopole's Higgs field. We will then go over some elementary results that restrict the possible degrees of the spectral curves when we impose symmetries on these monopoles from finite subgroups of SO(3)
MC 5403