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.