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An introduction to Higgs bundles - I

Introductory Workshop: Holomorphic Differentials in Mathematics and Physics August 19, 2019 - August 23, 2019

August 19, 2019 (02:15 PM PDT - 03:15 PM PDT)
Speaker(s): Qiongling Li (Chern Institute of Mathematics)
Location: MSRI: Simons Auditorium
  • Higgs bundles

  • non-Abelian Hodge correspondence

  • harmonic maps

  • character variety

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC



I will review the basic concepts of Higgs bundles and the moduli space of Higgs bundles, and then focus the non-Abelian Hodge correspondence: relation between the moduli space of Higgs bundles with harmonic maps and the character variety. I will also explain some examples: rank two Higgs bundles, cyclic Higgs bundles, variation of Hodge structure and so on.

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Video/Audio Files


H.264 Video 895_27269_7868_3-Li.mp4
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