Algebraic Geometry Working Seminar

Ruxandra Moraru, Department of Pure Mathematics, University of Waterloo

"Higgs Bundles"

Last week, Robert introduced the notion of Higgs bundle over Riemann surfaces. In this talk, I will provide some background on Higgs bundles and explain how they are related to the Yang-Mills equations and the cotangent bundle of the moduli space of stable bundles. I will also discuss how Higgs bundles can be generalized to higher-dimensional complex manifolds.