Higgs bundles and geometric structures

May 2021
talk expository notes

Summary:

An introduction to the theory of Higgs bundles and the nonabelian hodge correspondence. I emphasized the aspects related to geometric structures, in particular how the Hitchin section of SL(2,C) Higgs bundles gives hyperbolic structures.

Presented at:

  • MATH848C, Geometric structures, UMD, Spring 2021

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Higgs bundles and geometric structures