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An introduction to Higgs bundles

Student-Run Geometry/Topology Seminar

Speaker: Laura Schaposnik, University of Illinois at Urbana-Champaign
Location: 2112 MSB
Start time: Tue, Jan 14 2014, 2:10PM

We shall introduce classical Higgs bundles and their moduli space from a geometric and Lie theoretic point of view, motivating their study through representation theory. Then, we will extend these concepts to Higgs bundles whose structure group are complex Lie groups, as well as real forms, and finalize by introducing the Hitchin fibration of the moduli space of Higgs bundles.