# An introduction to Higgs bundles - I

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

**Speaker(s):**Qiongling Li (Chern Institute of Mathematics)

**Location:**SLMath: Eisenbud Auditorium

**Tags/Keywords**

Higgs bundles

non-Abelian Hodge correspondence

harmonic maps

character variety

**Primary Mathematics Subject Classification**

**Secondary Mathematics Subject Classification**No Secondary AMS MSC

#### 3-Li

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.

#### 3-Li

H.264 Video | 895_27269_7868_3-Li.mp4 |

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