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.