The spectral base and the rigidity of representations of the fundamental group
- A+
:Jie Liu (Chinese Academy of Sciences)
: 2024-12-31 09:30
:Conference Room S204 at Experiment Building at Haiyun Campus
Speaker:Jie Liu (Chinese Academy of Sciences)
Time:2024-12-31, 9:30
Location:Conference Room S204 at Experiment Building at Haiyun Campus
Abstract:
The spectral base was introduced by Tsao-Hsien Chen and Bao Chau Ngô to study the Hitchin map over higher dimensional base manifolds. In this talk, I will start with a brief introduction to the non-abelian Hodge theory and the Hitchin map, and then the relation between the rigidity and the spectral base will be discussed. Finally, I will present an application to the locally symmetric spaces, which allows us to recover Margulis` rigidity result for cocompact lattices. This is joint work with Siqi He and Ngaiming Mok.