Presentation Name: | Harmonic maps and harmonic bundles |
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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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