Moduli Spaces of Filtered G-local Systems on Curves
Algebraic Geometry
2025-07-08 v3
Abstract
In this paper, we construct the moduli spaces of filtered -local systems on curves for an arbitrary reductive group over an algebraically closed field of characteristic zero. This provides an algebraic construction for the Betti moduli spaces in the tame nonabelian Hodge correspondence for vector bundles/principal bundles on noncompact curves. As a direct application, the tame nonabelian Hodge correspondence on noncompact curves holds not only for the relevant categories, but also for the moduli spaces.
Keywords
Cite
@article{arxiv.2304.09999,
title = {Moduli Spaces of Filtered G-local Systems on Curves},
author = {Pengfei Huang and Hao Sun},
journal= {arXiv preprint arXiv:2304.09999},
year = {2025}
}
Comments
Some gaps fixed, and the part on the construction of the moduli spaces of filtered Stokes G-local systems will appear in a separate forthcoming project. Comments Welcome!