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arXiv · 2304.09999

Moduli Spaces of Filtered G-local Systems on Curves

Pengfei Huang·Hao Sun
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Abstract

In this paper, we construct the moduli spaces of filtered $G$-local systems on curves for an arbitrary reductive group $G$ 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.

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Pengfei Huang, Hao Sun. 2023-04-19. Moduli Spaces of Filtered G-local Systems on Curves. https://arxiv.org/abs/2304.09999

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