Presentation Name: Harmonic maps and harmonic bundles
Presenter: Martin A. Guest
Date: 2013-06-21
Location: 光华东主楼1801
Abstract:

Motivated by some new examples, we shall re-visit the well known correspondence between harmonic maps/harmonic bundles and holomorphic maps/Higgs bundles.  When the domain is a compact Riemann surfaces, fundamental results were obtained by Corlette-Donaldson and Hitchin-Simpson (the Hitchin-Kobayashi correspondence).  The local version is known to differential geometers as the DPW representation, or generalized Weierstrass representation.  We shall give a review of this area and mention some new examples where the domain is "the 2-sphere minus a finite number of points".

Annual Speech Directory: No.87

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