Videos

An Introduction to Higgs Bundles - II

Presenter
August 20, 2019
Keywords:
  • Higgs bundles
  • non-Abelian Hodge correspondence
  • harmonic maps
  • character variety
MSC:
  • 53C07
Abstract
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.