P进Simpson对应

P-adic Simpson Correspondence

Faltings提出了Simpson关于射影复流形上Higgs丛与基本群有限维C-表示之间对应关系的p进类比.在本文中,我们将概述这一工作以及相关的关于p进曲线的基本群有限维p进表示的研究.在最后一节,我们将简要地讨论一些相关工作.

Faltings proposed a p-adic analogue of Simpson's correspondence between Higgs bundles on projective complex manifolds and finite dimensional C-representation of the fundamental group.In this paper,we will give an overview of this work and recent progress on finite dimensional p-adic representations of the fundamental group of a p-adic curve.In the last section,we will briefly discuss some related works.