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arXiv · 2302.07789

The geometry of the unipotent component of the moduli space of Weil-Deligne representations

Daniel Funck
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Abstract

In this paper, we study the moduli space of unipotent Weil-Deligne representations valued in a split reductive group $G$ and characterise which irreducible components are smooth. We apply the smoothness results proved to show that a certain space of ordinary automorphic forms is a locally generically free module over the corresponding global deformation ring.

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Daniel Funck. 2023-02-15. The geometry of the unipotent component of the moduli space of Weil-Deligne representations. https://doi.org/10.2140/ant.2026.20.1125

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